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Finding the Fourth Proportional to 7,008.42, 9,670.64 and 4,023.78

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Solution

The fourth proportional to 7,008.42, 9,670.64 and 4,023.78 is: 5,552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.42 : 9,670.64 = 4,023.78 : x
  2. Step 2: Convert to fraction form
    7,008.42/9,670.64 = 4,023.78/x
  3. Step 3: Cross multiply
    7,008.42x = 9,670.64 × 4,023.78
  4. Step 4: Simplify right side
    7,008.42x = 38,912,507.70
  5. Step 5: Solve for x
    x = 38,912,507.70/7,008.42
  6. Step 6: Final answer
    x = 5,552.25

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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.