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Finding the Fourth Proportional to 9,456.80, 14,186.70 and 2,881.46

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Solution

The fourth proportional to 9,456.80, 14,186.70 and 2,881.46 is: 4,322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.80 : 14,186.70 = 2,881.46 : x
  2. Step 2: Convert to fraction form
    9,456.80/14,186.70 = 2,881.46/x
  3. Step 3: Cross multiply
    9,456.80x = 14,186.70 × 2,881.46
  4. Step 4: Simplify right side
    9,456.80x = 40,878,408.58
  5. Step 5: Solve for x
    x = 40,878,408.58/9,456.80
  6. Step 6: Final answer
    x = 4,322.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.