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Finding the Fourth Proportional to 9,793.59, 14,690.39 and 5,639.91

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Solution

The fourth proportional to 9,793.59, 14,690.39 and 5,639.91 is: 8,459.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.59 : 14,690.39 = 5,639.91 : x
  2. Step 2: Convert to fraction form
    9,793.59/14,690.39 = 5,639.91/x
  3. Step 3: Cross multiply
    9,793.59x = 14,690.39 × 5,639.91
  4. Step 4: Simplify right side
    9,793.59x = 82,852,477.46
  5. Step 5: Solve for x
    x = 82,852,477.46/9,793.59
  6. Step 6: Final answer
    x = 8,459.87

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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.