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Finding the Fourth Proportional to 9,305.48, 13,927.02 and 7,639.52

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Solution

The fourth proportional to 9,305.48, 13,927.02 and 7,639.52 is: 11,433.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.48 : 13,927.02 = 7,639.52 : x
  2. Step 2: Convert to fraction form
    9,305.48/13,927.02 = 7,639.52/x
  3. Step 3: Cross multiply
    9,305.48x = 13,927.02 × 7,639.52
  4. Step 4: Simplify right side
    9,305.48x = 106,395,678.20
  5. Step 5: Solve for x
    x = 106,395,678.20/9,305.48
  6. Step 6: Final answer
    x = 11,433.66

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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.