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Finding the Fourth Proportional to 6,307.31, 8,697.49 and 4,711.46

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Solution

The fourth proportional to 6,307.31, 8,697.49 and 4,711.46 is: 6,496.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.31 : 8,697.49 = 4,711.46 : x
  2. Step 2: Convert to fraction form
    6,307.31/8,697.49 = 4,711.46/x
  3. Step 3: Cross multiply
    6,307.31x = 8,697.49 × 4,711.46
  4. Step 4: Simplify right side
    6,307.31x = 40,977,809.19
  5. Step 5: Solve for x
    x = 40,977,809.19/6,307.31
  6. Step 6: Final answer
    x = 6,496.88

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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.