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Finding the Fourth Proportional to 9,358.72, 12,915.78 and 5,822.46

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Solution

The fourth proportional to 9,358.72, 12,915.78 and 5,822.46 is: 8,035.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.72 : 12,915.78 = 5,822.46 : x
  2. Step 2: Convert to fraction form
    9,358.72/12,915.78 = 5,822.46/x
  3. Step 3: Cross multiply
    9,358.72x = 12,915.78 × 5,822.46
  4. Step 4: Simplify right side
    9,358.72x = 75,201,612.42
  5. Step 5: Solve for x
    x = 75,201,612.42/9,358.72
  6. Step 6: Final answer
    x = 8,035.46

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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.