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Finding the Fourth Proportional to 6,152.55, 9,228.78 and 1,535.55

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Solution

The fourth proportional to 6,152.55, 9,228.78 and 1,535.55 is: 2,303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.55 : 9,228.78 = 1,535.55 : x
  2. Step 2: Convert to fraction form
    6,152.55/9,228.78 = 1,535.55/x
  3. Step 3: Cross multiply
    6,152.55x = 9,228.78 × 1,535.55
  4. Step 4: Simplify right side
    6,152.55x = 14,171,253.13
  5. Step 5: Solve for x
    x = 14,171,253.13/6,152.55
  6. Step 6: Final answer
    x = 2,303.31

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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.