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Finding the Fourth Proportional to 9,089.69, 12,547.34 and 5,731.83

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Solution

The fourth proportional to 9,089.69, 12,547.34 and 5,731.83 is: 7,912.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.69 : 12,547.34 = 5,731.83 : x
  2. Step 2: Convert to fraction form
    9,089.69/12,547.34 = 5,731.83/x
  3. Step 3: Cross multiply
    9,089.69x = 12,547.34 × 5,731.83
  4. Step 4: Simplify right side
    9,089.69x = 71,919,212.67
  5. Step 5: Solve for x
    x = 71,919,212.67/9,089.69
  6. Step 6: Final answer
    x = 7,912.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.