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Finding the Fourth Proportional to 9,465.80, 14,186.82 and 5,560.52

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Solution

The fourth proportional to 9,465.80, 14,186.82 and 5,560.52 is: 8,333.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.80 : 14,186.82 = 5,560.52 : x
  2. Step 2: Convert to fraction form
    9,465.80/14,186.82 = 5,560.52/x
  3. Step 3: Cross multiply
    9,465.80x = 14,186.82 × 5,560.52
  4. Step 4: Simplify right side
    9,465.80x = 78,886,096.35
  5. Step 5: Solve for x
    x = 78,886,096.35/9,465.80
  6. Step 6: Final answer
    x = 8,333.80

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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.