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Finding the Fourth Proportional to 6,602.94, 9,110.57 and 4,478.76

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Solution

The fourth proportional to 6,602.94, 9,110.57 and 4,478.76 is: 6,179.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.94 : 9,110.57 = 4,478.76 : x
  2. Step 2: Convert to fraction form
    6,602.94/9,110.57 = 4,478.76/x
  3. Step 3: Cross multiply
    6,602.94x = 9,110.57 × 4,478.76
  4. Step 4: Simplify right side
    6,602.94x = 40,804,034.10
  5. Step 5: Solve for x
    x = 40,804,034.10/6,602.94
  6. Step 6: Final answer
    x = 6,179.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.