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Finding the Fourth Proportional to 6,268.02, 9,397.80 and 2,569.20

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Solution

The fourth proportional to 6,268.02, 9,397.80 and 2,569.20 is: 3,852.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.02 : 9,397.80 = 2,569.20 : x
  2. Step 2: Convert to fraction form
    6,268.02/9,397.80 = 2,569.20/x
  3. Step 3: Cross multiply
    6,268.02x = 9,397.80 × 2,569.20
  4. Step 4: Simplify right side
    6,268.02x = 24,144,827.76
  5. Step 5: Solve for x
    x = 24,144,827.76/6,268.02
  6. Step 6: Final answer
    x = 3,852.07

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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.