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Finding the Fourth Proportional to 9,585.12, 13,225.92 and 6,050.24

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Solution

The fourth proportional to 9,585.12, 13,225.92 and 6,050.24 is: 8,348.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.12 : 13,225.92 = 6,050.24 : x
  2. Step 2: Convert to fraction form
    9,585.12/13,225.92 = 6,050.24/x
  3. Step 3: Cross multiply
    9,585.12x = 13,225.92 × 6,050.24
  4. Step 4: Simplify right side
    9,585.12x = 80,019,990.22
  5. Step 5: Solve for x
    x = 80,019,990.22/9,585.12
  6. Step 6: Final answer
    x = 8,348.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.