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Finding the Fourth Proportional to 6,499.17, 9,761.18 and 4,038.57

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Solution

The fourth proportional to 6,499.17, 9,761.18 and 4,038.57 is: 6,065.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.17 : 9,761.18 = 4,038.57 : x
  2. Step 2: Convert to fraction form
    6,499.17/9,761.18 = 4,038.57/x
  3. Step 3: Cross multiply
    6,499.17x = 9,761.18 × 4,038.57
  4. Step 4: Simplify right side
    6,499.17x = 39,421,188.52
  5. Step 5: Solve for x
    x = 39,421,188.52/6,499.17
  6. Step 6: Final answer
    x = 6,065.57

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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.