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Finding the Fourth Proportional to 7,024, 9,693.12 and 4,230.04

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Solution

The fourth proportional to 7,024, 9,693.12 and 4,230.04 is: 5,837.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024 : 9,693.12 = 4,230.04 : x
  2. Step 2: Convert to fraction form
    7,024/9,693.12 = 4,230.04/x
  3. Step 3: Cross multiply
    7,024x = 9,693.12 × 4,230.04
  4. Step 4: Simplify right side
    7,024x = 41,002,285.32
  5. Step 5: Solve for x
    x = 41,002,285.32/7,024
  6. Step 6: Final answer
    x = 5,837.46

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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.