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Finding the Fourth Proportional to 9,092.33, 12,547.19 and 5,948.45

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Solution

The fourth proportional to 9,092.33, 12,547.19 and 5,948.45 is: 8,208.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.33 : 12,547.19 = 5,948.45 : x
  2. Step 2: Convert to fraction form
    9,092.33/12,547.19 = 5,948.45/x
  3. Step 3: Cross multiply
    9,092.33x = 12,547.19 × 5,948.45
  4. Step 4: Simplify right side
    9,092.33x = 74,636,239.88
  5. Step 5: Solve for x
    x = 74,636,239.88/9,092.33
  6. Step 6: Final answer
    x = 8,208.71

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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.