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Finding the Fourth Proportional to 9,207.20, 13,802.70 and 5,510.90

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Solution

The fourth proportional to 9,207.20, 13,802.70 and 5,510.90 is: 8,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.20 : 13,802.70 = 5,510.90 : x
  2. Step 2: Convert to fraction form
    9,207.20/13,802.70 = 5,510.90/x
  3. Step 3: Cross multiply
    9,207.20x = 13,802.70 × 5,510.90
  4. Step 4: Simplify right side
    9,207.20x = 76,065,299.43
  5. Step 5: Solve for x
    x = 76,065,299.43/9,207.20
  6. Step 6: Final answer
    x = 8,261.50

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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.