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Finding the Fourth Proportional to 9,285.38, 12,814.52 and 5,306.42

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Solution

The fourth proportional to 9,285.38, 12,814.52 and 5,306.42 is: 7,323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.38 : 12,814.52 = 5,306.42 : x
  2. Step 2: Convert to fraction form
    9,285.38/12,814.52 = 5,306.42/x
  3. Step 3: Cross multiply
    9,285.38x = 12,814.52 × 5,306.42
  4. Step 4: Simplify right side
    9,285.38x = 67,999,225.22
  5. Step 5: Solve for x
    x = 67,999,225.22/9,285.38
  6. Step 6: Final answer
    x = 7,323.26

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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.