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Finding the Fourth Proportional to 7,026.20, 9,677.97 and 4,897.92

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Solution

The fourth proportional to 7,026.20, 9,677.97 and 4,897.92 is: 6,746.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.20 : 9,677.97 = 4,897.92 : x
  2. Step 2: Convert to fraction form
    7,026.20/9,677.97 = 4,897.92/x
  3. Step 3: Cross multiply
    7,026.20x = 9,677.97 × 4,897.92
  4. Step 4: Simplify right side
    7,026.20x = 47,401,959.11
  5. Step 5: Solve for x
    x = 47,401,959.11/7,026.20
  6. Step 6: Final answer
    x = 6,746.46

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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.