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Finding the Fourth Proportional to 9,281.80, 12,803.25 and 5,503.96

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Solution

The fourth proportional to 9,281.80, 12,803.25 and 5,503.96 is: 7,592.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.80 : 12,803.25 = 5,503.96 : x
  2. Step 2: Convert to fraction form
    9,281.80/12,803.25 = 5,503.96/x
  3. Step 3: Cross multiply
    9,281.80x = 12,803.25 × 5,503.96
  4. Step 4: Simplify right side
    9,281.80x = 70,468,575.87
  5. Step 5: Solve for x
    x = 70,468,575.87/9,281.80
  6. Step 6: Final answer
    x = 7,592.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.