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Finding the Fourth Proportional to 6,875.81, 9,452.13 and 5,915.21

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Solution

The fourth proportional to 6,875.81, 9,452.13 and 5,915.21 is: 8,131.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.81 : 9,452.13 = 5,915.21 : x
  2. Step 2: Convert to fraction form
    6,875.81/9,452.13 = 5,915.21/x
  3. Step 3: Cross multiply
    6,875.81x = 9,452.13 × 5,915.21
  4. Step 4: Simplify right side
    6,875.81x = 55,911,344.26
  5. Step 5: Solve for x
    x = 55,911,344.26/6,875.81
  6. Step 6: Final answer
    x = 8,131.60

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.