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Finding the Fourth Proportional to 6,152.86, 9,229.29 and 1,535.90

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Solution

The fourth proportional to 6,152.86, 9,229.29 and 1,535.90 is: 2,303.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.86 : 9,229.29 = 1,535.90 : x
  2. Step 2: Convert to fraction form
    6,152.86/9,229.29 = 1,535.90/x
  3. Step 3: Cross multiply
    6,152.86x = 9,229.29 × 1,535.90
  4. Step 4: Simplify right side
    6,152.86x = 14,175,266.51
  5. Step 5: Solve for x
    x = 14,175,266.51/6,152.86
  6. Step 6: Final answer
    x = 2,303.85

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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.