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Finding the Fourth Proportional to 9,732.50, 13,416.85 and 6,933.14

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Solution

The fourth proportional to 9,732.50, 13,416.85 and 6,933.14 is: 9,557.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.50 : 13,416.85 = 6,933.14 : x
  2. Step 2: Convert to fraction form
    9,732.50/13,416.85 = 6,933.14/x
  3. Step 3: Cross multiply
    9,732.50x = 13,416.85 × 6,933.14
  4. Step 4: Simplify right side
    9,732.50x = 93,020,929.46
  5. Step 5: Solve for x
    x = 93,020,929.46/9,732.50
  6. Step 6: Final answer
    x = 9,557.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.