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Finding the Fourth Proportional to 9,352.01, 12,894.10 and 5,989.29

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Solution

The fourth proportional to 9,352.01, 12,894.10 and 5,989.29 is: 8,257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.01 : 12,894.10 = 5,989.29 : x
  2. Step 2: Convert to fraction form
    9,352.01/12,894.10 = 5,989.29/x
  3. Step 3: Cross multiply
    9,352.01x = 12,894.10 × 5,989.29
  4. Step 4: Simplify right side
    9,352.01x = 77,226,489.22
  5. Step 5: Solve for x
    x = 77,226,489.22/9,352.01
  6. Step 6: Final answer
    x = 8,257.75

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1.5x scale

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.