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Finding the Fourth Proportional to 6,459.17, 9,687.63 and 1,778.13

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Solution

The fourth proportional to 6,459.17, 9,687.63 and 1,778.13 is: 2,666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.17 : 9,687.63 = 1,778.13 : x
  2. Step 2: Convert to fraction form
    6,459.17/9,687.63 = 1,778.13/x
  3. Step 3: Cross multiply
    6,459.17x = 9,687.63 × 1,778.13
  4. Step 4: Simplify right side
    6,459.17x = 17,225,872.20
  5. Step 5: Solve for x
    x = 17,225,872.20/6,459.17
  6. Step 6: Final answer
    x = 2,666.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.