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Finding the Fourth Proportional to 9,715.16, 13,411.26 and 7,476.20

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Solution

The fourth proportional to 9,715.16, 13,411.26 and 7,476.20 is: 10,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.16 : 13,411.26 = 7,476.20 : x
  2. Step 2: Convert to fraction form
    9,715.16/13,411.26 = 7,476.20/x
  3. Step 3: Cross multiply
    9,715.16x = 13,411.26 × 7,476.20
  4. Step 4: Simplify right side
    9,715.16x = 100,265,262.01
  5. Step 5: Solve for x
    x = 100,265,262.01/9,715.16
  6. Step 6: Final answer
    x = 10,320.50

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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.