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Finding the Fourth Proportional to 6,300.02, 9,449.76 and 2,601.20

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Solution

The fourth proportional to 6,300.02, 9,449.76 and 2,601.20 is: 3,901.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.02 : 9,449.76 = 2,601.20 : x
  2. Step 2: Convert to fraction form
    6,300.02/9,449.76 = 2,601.20/x
  3. Step 3: Cross multiply
    6,300.02x = 9,449.76 × 2,601.20
  4. Step 4: Simplify right side
    6,300.02x = 24,580,715.71
  5. Step 5: Solve for x
    x = 24,580,715.71/6,300.02
  6. Step 6: Final answer
    x = 3,901.69

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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.