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Finding the Fourth Proportional to 9,559.78, 14,329.32 and 4,016.14

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Solution

The fourth proportional to 9,559.78, 14,329.32 and 4,016.14 is: 6,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,559.78 : 14,329.32 = 4,016.14 : x
  2. Step 2: Convert to fraction form
    9,559.78/14,329.32 = 4,016.14/x
  3. Step 3: Cross multiply
    9,559.78x = 14,329.32 × 4,016.14
  4. Step 4: Simplify right side
    9,559.78x = 57,548,555.22
  5. Step 5: Solve for x
    x = 57,548,555.22/9,559.78
  6. Step 6: Final answer
    x = 6,019.86

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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.