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Finding the Fourth Proportional to 9,712.91, 14,498.46 and 8,335.10

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Solution

The fourth proportional to 9,712.91, 14,498.46 and 8,335.10 is: 12,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.91 : 14,498.46 = 8,335.10 : x
  2. Step 2: Convert to fraction form
    9,712.91/14,498.46 = 8,335.10/x
  3. Step 3: Cross multiply
    9,712.91x = 14,498.46 × 8,335.10
  4. Step 4: Simplify right side
    9,712.91x = 120,846,150.19
  5. Step 5: Solve for x
    x = 120,846,150.19/9,712.91
  6. Step 6: Final answer
    x = 12,441.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.