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Finding the Fourth Proportional to 9,292.46, 12,824.66 and 6,459.08

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Solution

The fourth proportional to 9,292.46, 12,824.66 and 6,459.08 is: 8,914.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.46 : 12,824.66 = 6,459.08 : x
  2. Step 2: Convert to fraction form
    9,292.46/12,824.66 = 6,459.08/x
  3. Step 3: Cross multiply
    9,292.46x = 12,824.66 × 6,459.08
  4. Step 4: Simplify right side
    9,292.46x = 82,835,504.91
  5. Step 5: Solve for x
    x = 82,835,504.91/9,292.46
  6. Step 6: Final answer
    x = 8,914.27

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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.