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Finding the Fourth Proportional to 9,423.60, 12,492.78 and 9,423.60

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Solution

The fourth proportional to 9,423.60, 12,492.78 and 9,423.60 is: 12,492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.60 : 12,492.78 = 9,423.60 : x
  2. Step 2: Convert to fraction form
    9,423.60/12,492.78 = 9,423.60/x
  3. Step 3: Cross multiply
    9,423.60x = 12,492.78 × 9,423.60
  4. Step 4: Simplify right side
    9,423.60x = 117,726,961.61
  5. Step 5: Solve for x
    x = 117,726,961.61/9,423.60
  6. Step 6: Final answer
    x = 12,492.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.