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Finding the Fourth Proportional to 9,441.80, 14,159.42 and 4,760

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Solution

The fourth proportional to 9,441.80, 14,159.42 and 4,760 is: 7,138.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.80 : 14,159.42 = 4,760 : x
  2. Step 2: Convert to fraction form
    9,441.80/14,159.42 = 4,760/x
  3. Step 3: Cross multiply
    9,441.80x = 14,159.42 × 4,760
  4. Step 4: Simplify right side
    9,441.80x = 67,398,839.20
  5. Step 5: Solve for x
    x = 67,398,839.20/9,441.80
  6. Step 6: Final answer
    x = 7,138.35

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