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Finding the Fourth Proportional to 9,545.58, 14,311.17 and 6,259.50

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Solution

The fourth proportional to 9,545.58, 14,311.17 and 6,259.50 is: 9,384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.58 : 14,311.17 = 6,259.50 : x
  2. Step 2: Convert to fraction form
    9,545.58/14,311.17 = 6,259.50/x
  3. Step 3: Cross multiply
    9,545.58x = 14,311.17 × 6,259.50
  4. Step 4: Simplify right side
    9,545.58x = 89,580,768.62
  5. Step 5: Solve for x
    x = 89,580,768.62/9,545.58
  6. Step 6: Final answer
    x = 9,384.53

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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.