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Finding the Fourth Proportional to 6,569.40, 9,062.76 and 3,915.24

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Solution

The fourth proportional to 6,569.40, 9,062.76 and 3,915.24 is: 5,401.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.40 : 9,062.76 = 3,915.24 : x
  2. Step 2: Convert to fraction form
    6,569.40/9,062.76 = 3,915.24/x
  3. Step 3: Cross multiply
    6,569.40x = 9,062.76 × 3,915.24
  4. Step 4: Simplify right side
    6,569.40x = 35,482,880.46
  5. Step 5: Solve for x
    x = 35,482,880.46/6,569.40
  6. Step 6: Final answer
    x = 5,401.24

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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.