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Finding the Fourth Proportional to 9,020.86, 12,448.86 and 5,042.14

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Solution

The fourth proportional to 9,020.86, 12,448.86 and 5,042.14 is: 6,958.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,020.86 : 12,448.86 = 5,042.14 : x
  2. Step 2: Convert to fraction form
    9,020.86/12,448.86 = 5,042.14/x
  3. Step 3: Cross multiply
    9,020.86x = 12,448.86 × 5,042.14
  4. Step 4: Simplify right side
    9,020.86x = 62,768,894.96
  5. Step 5: Solve for x
    x = 62,768,894.96/9,020.86
  6. Step 6: Final answer
    x = 6,958.19

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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.