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Finding the Fourth Proportional to 9,098.64, 13,662.54 and 6,877.62

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Solution

The fourth proportional to 9,098.64, 13,662.54 and 6,877.62 is: 10,327.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.64 : 13,662.54 = 6,877.62 : x
  2. Step 2: Convert to fraction form
    9,098.64/13,662.54 = 6,877.62/x
  3. Step 3: Cross multiply
    9,098.64x = 13,662.54 × 6,877.62
  4. Step 4: Simplify right side
    9,098.64x = 93,965,758.35
  5. Step 5: Solve for x
    x = 93,965,758.35/9,098.64
  6. Step 6: Final answer
    x = 10,327.45

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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.