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Finding the Fourth Proportional to 9,757.18, 14,631.45 and 7,009.66

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Solution

The fourth proportional to 9,757.18, 14,631.45 and 7,009.66 is: 10,511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.18 : 14,631.45 = 7,009.66 : x
  2. Step 2: Convert to fraction form
    9,757.18/14,631.45 = 7,009.66/x
  3. Step 3: Cross multiply
    9,757.18x = 14,631.45 × 7,009.66
  4. Step 4: Simplify right side
    9,757.18x = 102,561,489.81
  5. Step 5: Solve for x
    x = 102,561,489.81/9,757.18
  6. Step 6: Final answer
    x = 10,511.39

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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.