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Finding the Fourth Proportional to 6,567.50, 9,061.91 and 3,915.16

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Solution

The fourth proportional to 6,567.50, 9,061.91 and 3,915.16 is: 5,402.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.50 : 9,061.91 = 3,915.16 : x
  2. Step 2: Convert to fraction form
    6,567.50/9,061.91 = 3,915.16/x
  3. Step 3: Cross multiply
    6,567.50x = 9,061.91 × 3,915.16
  4. Step 4: Simplify right side
    6,567.50x = 35,478,782.25
  5. Step 5: Solve for x
    x = 35,478,782.25/6,567.50
  6. Step 6: Final answer
    x = 5,402.17

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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.