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Finding the Fourth Proportional to 9,104.40, 12,566.16 and 5,328

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Solution

The fourth proportional to 9,104.40, 12,566.16 and 5,328 is: 7,353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.40 : 12,566.16 = 5,328 : x
  2. Step 2: Convert to fraction form
    9,104.40/12,566.16 = 5,328/x
  3. Step 3: Cross multiply
    9,104.40x = 12,566.16 × 5,328
  4. Step 4: Simplify right side
    9,104.40x = 66,952,500.48
  5. Step 5: Solve for x
    x = 66,952,500.48/9,104.40
  6. Step 6: Final answer
    x = 7,353.86

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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.