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Finding the Fourth Proportional to 9,354.06, 12,909.51 and 6,992.10

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Solution

The fourth proportional to 9,354.06, 12,909.51 and 6,992.10 is: 9,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.06 : 12,909.51 = 6,992.10 : x
  2. Step 2: Convert to fraction form
    9,354.06/12,909.51 = 6,992.10/x
  3. Step 3: Cross multiply
    9,354.06x = 12,909.51 × 6,992.10
  4. Step 4: Simplify right side
    9,354.06x = 90,264,584.87
  5. Step 5: Solve for x
    x = 90,264,584.87/9,354.06
  6. Step 6: Final answer
    x = 9,649.78

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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.