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Finding the Fourth Proportional to 9,496,978.83, 13,105,809.39 and 5,146,182.90

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Solution

The fourth proportional to 9,496,978.83, 13,105,809.39 and 5,146,182.90 is: 7,101,720.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496,978.83 : 13,105,809.39 = 5,146,182.90 : x
  2. Step 2: Convert to fraction form
    9,496,978.83/13,105,809.39 = 5,146,182.90/x
  3. Step 3: Cross multiply
    9,496,978.83x = 13,105,809.39 × 5,146,182.90
  4. Step 4: Simplify right side
    9,496,978.83x = 67,444,892,173,477.44
  5. Step 5: Solve for x
    x = 67,444,892,173,477.44/9,496,978.83
  6. Step 6: Final answer
    x = 7,101,720.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.