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Finding the Fourth Proportional to 7,026.11, 9,698.06 and 4,637.83

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Solution

The fourth proportional to 7,026.11, 9,698.06 and 4,637.83 is: 6,401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.11 : 9,698.06 = 4,637.83 : x
  2. Step 2: Convert to fraction form
    7,026.11/9,698.06 = 4,637.83/x
  3. Step 3: Cross multiply
    7,026.11x = 9,698.06 × 4,637.83
  4. Step 4: Simplify right side
    7,026.11x = 44,977,906.18
  5. Step 5: Solve for x
    x = 44,977,906.18/7,026.11
  6. Step 6: Final answer
    x = 6,401.54

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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.