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Finding the Fourth Proportional to 9,732.93, 14,600.57 and 4,537.59

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Solution

The fourth proportional to 9,732.93, 14,600.57 and 4,537.59 is: 6,806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.93 : 14,600.57 = 4,537.59 : x
  2. Step 2: Convert to fraction form
    9,732.93/14,600.57 = 4,537.59/x
  3. Step 3: Cross multiply
    9,732.93x = 14,600.57 × 4,537.59
  4. Step 4: Simplify right side
    9,732.93x = 66,251,377.74
  5. Step 5: Solve for x
    x = 66,251,377.74/9,732.93
  6. Step 6: Final answer
    x = 6,806.93

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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.