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Finding the Fourth Proportional to 9,027.38, 12,457.79 and 5,048.40

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Solution

The fourth proportional to 9,027.38, 12,457.79 and 5,048.40 is: 6,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027.38 : 12,457.79 = 5,048.40 : x
  2. Step 2: Convert to fraction form
    9,027.38/12,457.79 = 5,048.40/x
  3. Step 3: Cross multiply
    9,027.38x = 12,457.79 × 5,048.40
  4. Step 4: Simplify right side
    9,027.38x = 62,891,881.79
  5. Step 5: Solve for x
    x = 62,891,881.79/9,027.38
  6. Step 6: Final answer
    x = 6,966.80

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Why These Related Problems?

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