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Finding the Fourth Proportional to 6,336.16, 9,500.76 and 1,952.40

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Solution

The fourth proportional to 6,336.16, 9,500.76 and 1,952.40 is: 2,927.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.16 : 9,500.76 = 1,952.40 : x
  2. Step 2: Convert to fraction form
    6,336.16/9,500.76 = 1,952.40/x
  3. Step 3: Cross multiply
    6,336.16x = 9,500.76 × 1,952.40
  4. Step 4: Simplify right side
    6,336.16x = 18,549,283.82
  5. Step 5: Solve for x
    x = 18,549,283.82/6,336.16
  6. Step 6: Final answer
    x = 2,927.53

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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.