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Finding the Fourth Proportional to 9,866.60, 13,615.14 and 5,674.04

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Solution

The fourth proportional to 9,866.60, 13,615.14 and 5,674.04 is: 7,829.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.60 : 13,615.14 = 5,674.04 : x
  2. Step 2: Convert to fraction form
    9,866.60/13,615.14 = 5,674.04/x
  3. Step 3: Cross multiply
    9,866.60x = 13,615.14 × 5,674.04
  4. Step 4: Simplify right side
    9,866.60x = 77,252,848.97
  5. Step 5: Solve for x
    x = 77,252,848.97/9,866.60
  6. Step 6: Final answer
    x = 7,829.73

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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.