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Finding the Fourth Proportional to 6,377.78, 9,557.76 and 3,090

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Solution

The fourth proportional to 6,377.78, 9,557.76 and 3,090 is: 4,630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.78 : 9,557.76 = 3,090 : x
  2. Step 2: Convert to fraction form
    6,377.78/9,557.76 = 3,090/x
  3. Step 3: Cross multiply
    6,377.78x = 9,557.76 × 3,090
  4. Step 4: Simplify right side
    6,377.78x = 29,533,478.40
  5. Step 5: Solve for x
    x = 29,533,478.40/6,377.78
  6. Step 6: Final answer
    x = 4,630.68

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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.