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Finding the Fourth Proportional to 9,115.40, 12,564.48 and 7,122.48

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Solution

The fourth proportional to 9,115.40, 12,564.48 and 7,122.48 is: 9,817.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.40 : 12,564.48 = 7,122.48 : x
  2. Step 2: Convert to fraction form
    9,115.40/12,564.48 = 7,122.48/x
  3. Step 3: Cross multiply
    9,115.40x = 12,564.48 × 7,122.48
  4. Step 4: Simplify right side
    9,115.40x = 89,490,257.51
  5. Step 5: Solve for x
    x = 89,490,257.51/9,115.40
  6. Step 6: Final answer
    x = 9,817.48

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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.