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Finding the Fourth Proportional to 9,560.40, 14,325 and 5,854.86

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Solution

The fourth proportional to 9,560.40, 14,325 and 5,854.86 is: 8,772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.40 : 14,325 = 5,854.86 : x
  2. Step 2: Convert to fraction form
    9,560.40/14,325 = 5,854.86/x
  3. Step 3: Cross multiply
    9,560.40x = 14,325 × 5,854.86
  4. Step 4: Simplify right side
    9,560.40x = 83,870,869.50
  5. Step 5: Solve for x
    x = 83,870,869.50/9,560.40
  6. Step 6: Final answer
    x = 8,772.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.