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Finding the Fourth Proportional to 6,089.36, 9,119.32 and 3,484.40

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Solution

The fourth proportional to 6,089.36, 9,119.32 and 3,484.40 is: 5,218.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.36 : 9,119.32 = 3,484.40 : x
  2. Step 2: Convert to fraction form
    6,089.36/9,119.32 = 3,484.40/x
  3. Step 3: Cross multiply
    6,089.36x = 9,119.32 × 3,484.40
  4. Step 4: Simplify right side
    6,089.36x = 31,775,358.61
  5. Step 5: Solve for x
    x = 31,775,358.61/6,089.36
  6. Step 6: Final answer
    x = 5,218.18

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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.