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Finding the Fourth Proportional to 9,557.78, 14,326.32 and 4,014.14

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Solution

The fourth proportional to 9,557.78, 14,326.32 and 4,014.14 is: 6,016.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557.78 : 14,326.32 = 4,014.14 : x
  2. Step 2: Convert to fraction form
    9,557.78/14,326.32 = 4,014.14/x
  3. Step 3: Cross multiply
    9,557.78x = 14,326.32 × 4,014.14
  4. Step 4: Simplify right side
    9,557.78x = 57,507,854.16
  5. Step 5: Solve for x
    x = 57,507,854.16/9,557.78
  6. Step 6: Final answer
    x = 6,016.86

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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.