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Finding the Fourth Proportional to 9,363.42, 12,922.20 and 5,385.78

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Solution

The fourth proportional to 9,363.42, 12,922.20 and 5,385.78 is: 7,432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,363.42 : 12,922.20 = 5,385.78 : x
  2. Step 2: Convert to fraction form
    9,363.42/12,922.20 = 5,385.78/x
  3. Step 3: Cross multiply
    9,363.42x = 12,922.20 × 5,385.78
  4. Step 4: Simplify right side
    9,363.42x = 69,596,126.32
  5. Step 5: Solve for x
    x = 69,596,126.32/9,363.42
  6. Step 6: Final answer
    x = 7,432.77

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