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Finding the Fourth Proportional to 7,026.18, 9,697.95 and 4,042.32

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Solution

The fourth proportional to 7,026.18, 9,697.95 and 4,042.32 is: 5,579.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.18 : 9,697.95 = 4,042.32 : x
  2. Step 2: Convert to fraction form
    7,026.18/9,697.95 = 4,042.32/x
  3. Step 3: Cross multiply
    7,026.18x = 9,697.95 × 4,042.32
  4. Step 4: Simplify right side
    7,026.18x = 39,202,217.24
  5. Step 5: Solve for x
    x = 39,202,217.24/7,026.18
  6. Step 6: Final answer
    x = 5,579.45

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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.