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Finding the Fourth Proportional to 6,488.71, 9,718.47 and 4,549.57

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Solution

The fourth proportional to 6,488.71, 9,718.47 and 4,549.57 is: 6,814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.71 : 9,718.47 = 4,549.57 : x
  2. Step 2: Convert to fraction form
    6,488.71/9,718.47 = 4,549.57/x
  3. Step 3: Cross multiply
    6,488.71x = 9,718.47 × 4,549.57
  4. Step 4: Simplify right side
    6,488.71x = 44,214,859.56
  5. Step 5: Solve for x
    x = 44,214,859.56/6,488.71
  6. Step 6: Final answer
    x = 6,814.12

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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.