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Finding the Fourth Proportional to 7,032.16, 9,704.02 and 3,887.74

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Solution

The fourth proportional to 7,032.16, 9,704.02 and 3,887.74 is: 5,364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.16 : 9,704.02 = 3,887.74 : x
  2. Step 2: Convert to fraction form
    7,032.16/9,704.02 = 3,887.74/x
  3. Step 3: Cross multiply
    7,032.16x = 9,704.02 × 3,887.74
  4. Step 4: Simplify right side
    7,032.16x = 37,726,706.71
  5. Step 5: Solve for x
    x = 37,726,706.71/7,032.16
  6. Step 6: Final answer
    x = 5,364.88

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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.