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Finding the Fourth Proportional to 9,020.63, 12,448.69 and 5,042.40

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Solution

The fourth proportional to 9,020.63, 12,448.69 and 5,042.40 is: 6,958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,020.63 : 12,448.69 = 5,042.40 : x
  2. Step 2: Convert to fraction form
    9,020.63/12,448.69 = 5,042.40/x
  3. Step 3: Cross multiply
    9,020.63x = 12,448.69 × 5,042.40
  4. Step 4: Simplify right side
    9,020.63x = 62,771,261.85
  5. Step 5: Solve for x
    x = 62,771,261.85/9,020.63
  6. Step 6: Final answer
    x = 6,958.64

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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.