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Finding the Fourth Proportional to 9,565.65, 14,350.45 and 4,015.73

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Solution

The fourth proportional to 9,565.65, 14,350.45 and 4,015.73 is: 6,024.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.65 : 14,350.45 = 4,015.73 : x
  2. Step 2: Convert to fraction form
    9,565.65/14,350.45 = 4,015.73/x
  3. Step 3: Cross multiply
    9,565.65x = 14,350.45 × 4,015.73
  4. Step 4: Simplify right side
    9,565.65x = 57,627,558.42
  5. Step 5: Solve for x
    x = 57,627,558.42/9,565.65
  6. Step 6: Final answer
    x = 6,024.43

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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.