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Finding the Fourth Proportional to 9,734.68, 14,621.87 and 8,590.61

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Solution

The fourth proportional to 9,734.68, 14,621.87 and 8,590.61 is: 12,903.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.68 : 14,621.87 = 8,590.61 : x
  2. Step 2: Convert to fraction form
    9,734.68/14,621.87 = 8,590.61/x
  3. Step 3: Cross multiply
    9,734.68x = 14,621.87 × 8,590.61
  4. Step 4: Simplify right side
    9,734.68x = 125,610,710.10
  5. Step 5: Solve for x
    x = 125,610,710.10/9,734.68
  6. Step 6: Final answer
    x = 12,903.42

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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.