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Finding the Fourth Proportional to 9,560.16, 14,348.45 and 3,720.87

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Solution

The fourth proportional to 9,560.16, 14,348.45 and 3,720.87 is: 5,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.16 : 14,348.45 = 3,720.87 : x
  2. Step 2: Convert to fraction form
    9,560.16/14,348.45 = 3,720.87/x
  3. Step 3: Cross multiply
    9,560.16x = 14,348.45 × 3,720.87
  4. Step 4: Simplify right side
    9,560.16x = 53,388,726.45
  5. Step 5: Solve for x
    x = 53,388,726.45/9,560.16
  6. Step 6: Final answer
    x = 5,584.50

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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.