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Finding the Fourth Proportional to 9,384.48, 12,952.56 and 7,811.04

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Solution

The fourth proportional to 9,384.48, 12,952.56 and 7,811.04 is: 10,780.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.48 : 12,952.56 = 7,811.04 : x
  2. Step 2: Convert to fraction form
    9,384.48/12,952.56 = 7,811.04/x
  3. Step 3: Cross multiply
    9,384.48x = 12,952.56 × 7,811.04
  4. Step 4: Simplify right side
    9,384.48x = 101,172,964.26
  5. Step 5: Solve for x
    x = 101,172,964.26/9,384.48
  6. Step 6: Final answer
    x = 10,780.88

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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.