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Finding the Fourth Proportional to 9,560.80, 14,330.82 and 4,017.16

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Solution

The fourth proportional to 9,560.80, 14,330.82 and 4,017.16 is: 6,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.80 : 14,330.82 = 4,017.16 : x
  2. Step 2: Convert to fraction form
    9,560.80/14,330.82 = 4,017.16/x
  3. Step 3: Cross multiply
    9,560.80x = 14,330.82 × 4,017.16
  4. Step 4: Simplify right side
    9,560.80x = 57,569,196.87
  5. Step 5: Solve for x
    x = 57,569,196.87/9,560.80
  6. Step 6: Final answer
    x = 6,021.38

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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.