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Finding the Fourth Proportional to 9,292.64, 12,819.57 and 6,466.74

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Solution

The fourth proportional to 9,292.64, 12,819.57 and 6,466.74 is: 8,921.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.64 : 12,819.57 = 6,466.74 : x
  2. Step 2: Convert to fraction form
    9,292.64/12,819.57 = 6,466.74/x
  3. Step 3: Cross multiply
    9,292.64x = 12,819.57 × 6,466.74
  4. Step 4: Simplify right side
    9,292.64x = 82,900,826.10
  5. Step 5: Solve for x
    x = 82,900,826.10/9,292.64
  6. Step 6: Final answer
    x = 8,921.13

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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.