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Finding the Fourth Proportional to 7,024.24, 9,701.36 and 4,662.24

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Solution

The fourth proportional to 7,024.24, 9,701.36 and 4,662.24 is: 6,439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.24 : 9,701.36 = 4,662.24 : x
  2. Step 2: Convert to fraction form
    7,024.24/9,701.36 = 4,662.24/x
  3. Step 3: Cross multiply
    7,024.24x = 9,701.36 × 4,662.24
  4. Step 4: Simplify right side
    7,024.24x = 45,230,068.65
  5. Step 5: Solve for x
    x = 45,230,068.65/7,024.24
  6. Step 6: Final answer
    x = 6,439.14

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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.