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Finding the Fourth Proportional to 9,206.40, 13,781.15 and 6,040.20

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Solution

The fourth proportional to 9,206.40, 13,781.15 and 6,040.20 is: 9,041.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.40 : 13,781.15 = 6,040.20 : x
  2. Step 2: Convert to fraction form
    9,206.40/13,781.15 = 6,040.20/x
  3. Step 3: Cross multiply
    9,206.40x = 13,781.15 × 6,040.20
  4. Step 4: Simplify right side
    9,206.40x = 83,240,946.36
  5. Step 5: Solve for x
    x = 83,240,946.36/9,206.40
  6. Step 6: Final answer
    x = 9,041.64

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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.