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Finding the Fourth Proportional to 9,147.51, 13,726.71 and 8,403.93

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Solution

The fourth proportional to 9,147.51, 13,726.71 and 8,403.93 is: 12,610.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.51 : 13,726.71 = 8,403.93 : x
  2. Step 2: Convert to fraction form
    9,147.51/13,726.71 = 8,403.93/x
  3. Step 3: Cross multiply
    9,147.51x = 13,726.71 × 8,403.93
  4. Step 4: Simplify right side
    9,147.51x = 115,358,309.97
  5. Step 5: Solve for x
    x = 115,358,309.97/9,147.51
  6. Step 6: Final answer
    x = 12,610.90

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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.