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Finding the Fourth Proportional to 9,191.81, 13,683.76 and 9,137.13

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Solution

The fourth proportional to 9,191.81, 13,683.76 and 9,137.13 is: 13,602.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.81 : 13,683.76 = 9,137.13 : x
  2. Step 2: Convert to fraction form
    9,191.81/13,683.76 = 9,137.13/x
  3. Step 3: Cross multiply
    9,191.81x = 13,683.76 × 9,137.13
  4. Step 4: Simplify right side
    9,191.81x = 125,030,248.32
  5. Step 5: Solve for x
    x = 125,030,248.32/9,191.81
  6. Step 6: Final answer
    x = 13,602.36

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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.