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Finding the Fourth Proportional to 7,024.35, 9,695.56 and 4,041.14

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Solution

The fourth proportional to 7,024.35, 9,695.56 and 4,041.14 is: 5,577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.35 : 9,695.56 = 4,041.14 : x
  2. Step 2: Convert to fraction form
    7,024.35/9,695.56 = 4,041.14/x
  3. Step 3: Cross multiply
    7,024.35x = 9,695.56 × 4,041.14
  4. Step 4: Simplify right side
    7,024.35x = 39,181,129.47
  5. Step 5: Solve for x
    x = 39,181,129.47/7,024.35
  6. Step 6: Final answer
    x = 5,577.90

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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.