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Finding the Fourth Proportional to 9,591.52, 14,386.80 and 2,666.08

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Solution

The fourth proportional to 9,591.52, 14,386.80 and 2,666.08 is: 3,998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.52 : 14,386.80 = 2,666.08 : x
  2. Step 2: Convert to fraction form
    9,591.52/14,386.80 = 2,666.08/x
  3. Step 3: Cross multiply
    9,591.52x = 14,386.80 × 2,666.08
  4. Step 4: Simplify right side
    9,591.52x = 38,356,359.74
  5. Step 5: Solve for x
    x = 38,356,359.74/9,591.52
  6. Step 6: Final answer
    x = 3,998.99

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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.