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Finding the Fourth Proportional to 9,732.32, 14,595.79 and 2,711.79

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Solution

The fourth proportional to 9,732.32, 14,595.79 and 2,711.79 is: 4,066.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.32 : 14,595.79 = 2,711.79 : x
  2. Step 2: Convert to fraction form
    9,732.32/14,595.79 = 2,711.79/x
  3. Step 3: Cross multiply
    9,732.32x = 14,595.79 × 2,711.79
  4. Step 4: Simplify right side
    9,732.32x = 39,580,784.76
  5. Step 5: Solve for x
    x = 39,580,784.76/9,732.32
  6. Step 6: Final answer
    x = 4,066.94

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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.