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Finding the Fourth Proportional to 9,565.63, 14,350.53 and 4,015.81

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Solution

The fourth proportional to 9,565.63, 14,350.53 and 4,015.81 is: 6,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.63 : 14,350.53 = 4,015.81 : x
  2. Step 2: Convert to fraction form
    9,565.63/14,350.53 = 4,015.81/x
  3. Step 3: Cross multiply
    9,565.63x = 14,350.53 × 4,015.81
  4. Step 4: Simplify right side
    9,565.63x = 57,629,012.29
  5. Step 5: Solve for x
    x = 57,629,012.29/9,565.63
  6. Step 6: Final answer
    x = 6,024.59

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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.