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Finding the Fourth Proportional to 6,602.77, 9,897.49 and 4,139.32

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Solution

The fourth proportional to 6,602.77, 9,897.49 and 4,139.32 is: 6,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.77 : 9,897.49 = 4,139.32 : x
  2. Step 2: Convert to fraction form
    6,602.77/9,897.49 = 4,139.32/x
  3. Step 3: Cross multiply
    6,602.77x = 9,897.49 × 4,139.32
  4. Step 4: Simplify right side
    6,602.77x = 40,968,835.45
  5. Step 5: Solve for x
    x = 40,968,835.45/6,602.77
  6. Step 6: Final answer
    x = 6,204.80

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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.