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Finding the Fourth Proportional to 9,415.35, 12,989.47 and 6,581.97

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Solution

The fourth proportional to 9,415.35, 12,989.47 and 6,581.97 is: 9,080.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.35 : 12,989.47 = 6,581.97 : x
  2. Step 2: Convert to fraction form
    9,415.35/12,989.47 = 6,581.97/x
  3. Step 3: Cross multiply
    9,415.35x = 12,989.47 × 6,581.97
  4. Step 4: Simplify right side
    9,415.35x = 85,496,301.86
  5. Step 5: Solve for x
    x = 85,496,301.86/9,415.35
  6. Step 6: Final answer
    x = 9,080.52

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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.