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Finding the Fourth Proportional to 9,508.86, 14,268.42 and 4,510.08

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Solution

The fourth proportional to 9,508.86, 14,268.42 and 4,510.08 is: 6,767.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.86 : 14,268.42 = 4,510.08 : x
  2. Step 2: Convert to fraction form
    9,508.86/14,268.42 = 4,510.08/x
  3. Step 3: Cross multiply
    9,508.86x = 14,268.42 × 4,510.08
  4. Step 4: Simplify right side
    9,508.86x = 64,351,715.67
  5. Step 5: Solve for x
    x = 64,351,715.67/9,508.86
  6. Step 6: Final answer
    x = 6,767.55

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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.