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Finding the Fourth Proportional to 6,278.70, 9,417.76 and 2,580.02

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Solution

The fourth proportional to 6,278.70, 9,417.76 and 2,580.02 is: 3,869.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.70 : 9,417.76 = 2,580.02 : x
  2. Step 2: Convert to fraction form
    6,278.70/9,417.76 = 2,580.02/x
  3. Step 3: Cross multiply
    6,278.70x = 9,417.76 × 2,580.02
  4. Step 4: Simplify right side
    6,278.70x = 24,298,009.16
  5. Step 5: Solve for x
    x = 24,298,009.16/6,278.70
  6. Step 6: Final answer
    x = 3,869.91

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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.