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Finding the Fourth Proportional to 9,021.16, 12,449.81 and 5,042.19

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Solution

The fourth proportional to 9,021.16, 12,449.81 and 5,042.19 is: 6,958.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.16 : 12,449.81 = 5,042.19 : x
  2. Step 2: Convert to fraction form
    9,021.16/12,449.81 = 5,042.19/x
  3. Step 3: Cross multiply
    9,021.16x = 12,449.81 × 5,042.19
  4. Step 4: Simplify right side
    9,021.16x = 62,774,307.48
  5. Step 5: Solve for x
    x = 62,774,307.48/9,021.16
  6. Step 6: Final answer
    x = 6,958.56

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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.