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Finding the Fourth Proportional to 9,560.98, 14,347.02 and 4,013.84

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Solution

The fourth proportional to 9,560.98, 14,347.02 and 4,013.84 is: 6,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.98 : 14,347.02 = 4,013.84 : x
  2. Step 2: Convert to fraction form
    9,560.98/14,347.02 = 4,013.84/x
  3. Step 3: Cross multiply
    9,560.98x = 14,347.02 × 4,013.84
  4. Step 4: Simplify right side
    9,560.98x = 57,586,642.76
  5. Step 5: Solve for x
    x = 57,586,642.76/9,560.98
  6. Step 6: Final answer
    x = 6,023.09

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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.