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Finding the Fourth Proportional to 9,931.12, 13,702.49 and 5,624.28

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Solution

The fourth proportional to 9,931.12, 13,702.49 and 5,624.28 is: 7,760.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.12 : 13,702.49 = 5,624.28 : x
  2. Step 2: Convert to fraction form
    9,931.12/13,702.49 = 5,624.28/x
  3. Step 3: Cross multiply
    9,931.12x = 13,702.49 × 5,624.28
  4. Step 4: Simplify right side
    9,931.12x = 77,066,640.46
  5. Step 5: Solve for x
    x = 77,066,640.46/9,931.12
  6. Step 6: Final answer
    x = 7,760.12

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