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Finding the Fourth Proportional to 7,026.99, 9,697.53 and 4,042.82

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Solution

The fourth proportional to 7,026.99, 9,697.53 and 4,042.82 is: 5,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.99 : 9,697.53 = 4,042.82 : x
  2. Step 2: Convert to fraction form
    7,026.99/9,697.53 = 4,042.82/x
  3. Step 3: Cross multiply
    7,026.99x = 9,697.53 × 4,042.82
  4. Step 4: Simplify right side
    7,026.99x = 39,205,319.75
  5. Step 5: Solve for x
    x = 39,205,319.75/7,026.99
  6. Step 6: Final answer
    x = 5,579.25

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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.