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Finding the Fourth Proportional to 7,147.53, 9,864.05 and 4,004.19

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Solution

The fourth proportional to 7,147.53, 9,864.05 and 4,004.19 is: 5,526.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.53 : 9,864.05 = 4,004.19 : x
  2. Step 2: Convert to fraction form
    7,147.53/9,864.05 = 4,004.19/x
  3. Step 3: Cross multiply
    7,147.53x = 9,864.05 × 4,004.19
  4. Step 4: Simplify right side
    7,147.53x = 39,497,510.35
  5. Step 5: Solve for x
    x = 39,497,510.35/7,147.53
  6. Step 6: Final answer
    x = 5,526.04

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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.