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Finding the Fourth Proportional to 9,577.65, 14,366.28 and 6,754.89

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Solution

The fourth proportional to 9,577.65, 14,366.28 and 6,754.89 is: 10,132.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.65 : 14,366.28 = 6,754.89 : x
  2. Step 2: Convert to fraction form
    9,577.65/14,366.28 = 6,754.89/x
  3. Step 3: Cross multiply
    9,577.65x = 14,366.28 × 6,754.89
  4. Step 4: Simplify right side
    9,577.65x = 97,042,641.11
  5. Step 5: Solve for x
    x = 97,042,641.11/9,577.65
  6. Step 6: Final answer
    x = 10,132.20

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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.