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Finding the Fourth Proportional to 9,603.80, 14,407.64 and 4,057.16

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Solution

The fourth proportional to 9,603.80, 14,407.64 and 4,057.16 is: 6,086.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.80 : 14,407.64 = 4,057.16 : x
  2. Step 2: Convert to fraction form
    9,603.80/14,407.64 = 4,057.16/x
  3. Step 3: Cross multiply
    9,603.80x = 14,407.64 × 4,057.16
  4. Step 4: Simplify right side
    9,603.80x = 58,454,100.70
  5. Step 5: Solve for x
    x = 58,454,100.70/9,603.80
  6. Step 6: Final answer
    x = 6,086.56

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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.