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Finding the Fourth Proportional to 6,397.76, 9,605.61 and 3,280.01

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Solution

The fourth proportional to 6,397.76, 9,605.61 and 3,280.01 is: 4,924.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.76 : 9,605.61 = 3,280.01 : x
  2. Step 2: Convert to fraction form
    6,397.76/9,605.61 = 3,280.01/x
  3. Step 3: Cross multiply
    6,397.76x = 9,605.61 × 3,280.01
  4. Step 4: Simplify right side
    6,397.76x = 31,506,448.83
  5. Step 5: Solve for x
    x = 31,506,448.83/6,397.76
  6. Step 6: Final answer
    x = 4,924.61

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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.