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Finding the Fourth Proportional to 9,098.34, 12,564.90 and 6,856.62

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Solution

The fourth proportional to 9,098.34, 12,564.90 and 6,856.62 is: 9,469.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.34 : 12,564.90 = 6,856.62 : x
  2. Step 2: Convert to fraction form
    9,098.34/12,564.90 = 6,856.62/x
  3. Step 3: Cross multiply
    9,098.34x = 12,564.90 × 6,856.62
  4. Step 4: Simplify right side
    9,098.34x = 86,152,744.64
  5. Step 5: Solve for x
    x = 86,152,744.64/9,098.34
  6. Step 6: Final answer
    x = 9,469.06

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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.