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Finding the Fourth Proportional to 10,492.20, 15,738.30 and 9,397.80

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Solution

The fourth proportional to 10,492.20, 15,738.30 and 9,397.80 is: 14,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.20 : 15,738.30 = 9,397.80 : x
  2. Step 2: Convert to fraction form
    10,492.20/15,738.30 = 9,397.80/x
  3. Step 3: Cross multiply
    10,492.20x = 15,738.30 × 9,397.80
  4. Step 4: Simplify right side
    10,492.20x = 147,905,395.74
  5. Step 5: Solve for x
    x = 147,905,395.74/10,492.20
  6. Step 6: Final answer
    x = 14,096.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.