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Finding the Fourth Proportional to 9,666.08, 13,340.36 and 5,687

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Solution

The fourth proportional to 9,666.08, 13,340.36 and 5,687 is: 7,848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.08 : 13,340.36 = 5,687 : x
  2. Step 2: Convert to fraction form
    9,666.08/13,340.36 = 5,687/x
  3. Step 3: Cross multiply
    9,666.08x = 13,340.36 × 5,687
  4. Step 4: Simplify right side
    9,666.08x = 75,866,627.32
  5. Step 5: Solve for x
    x = 75,866,627.32/9,666.08
  6. Step 6: Final answer
    x = 7,848.75

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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.