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Finding the Fourth Proportional to 9,193.81, 13,686.73 and 9,139.13

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Solution

The fourth proportional to 9,193.81, 13,686.73 and 9,139.13 is: 13,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.81 : 13,686.73 = 9,139.13 : x
  2. Step 2: Convert to fraction form
    9,193.81/13,686.73 = 9,139.13/x
  3. Step 3: Cross multiply
    9,193.81x = 13,686.73 × 9,139.13
  4. Step 4: Simplify right side
    9,193.81x = 125,084,804.74
  5. Step 5: Solve for x
    x = 125,084,804.74/9,193.81
  6. Step 6: Final answer
    x = 13,605.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.