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Finding the Fourth Proportional to 9,989.64, 14,980.14 and 3,062.52

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Solution

The fourth proportional to 9,989.64, 14,980.14 and 3,062.52 is: 4,592.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.64 : 14,980.14 = 3,062.52 : x
  2. Step 2: Convert to fraction form
    9,989.64/14,980.14 = 3,062.52/x
  3. Step 3: Cross multiply
    9,989.64x = 14,980.14 × 3,062.52
  4. Step 4: Simplify right side
    9,989.64x = 45,876,978.35
  5. Step 5: Solve for x
    x = 45,876,978.35/9,989.64
  6. Step 6: Final answer
    x = 4,592.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.