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Finding the Fourth Proportional to 7,007.02, 9,670.14 and 3,863.20

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Solution

The fourth proportional to 7,007.02, 9,670.14 and 3,863.20 is: 5,331.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.02 : 9,670.14 = 3,863.20 : x
  2. Step 2: Convert to fraction form
    7,007.02/9,670.14 = 3,863.20/x
  3. Step 3: Cross multiply
    7,007.02x = 9,670.14 × 3,863.20
  4. Step 4: Simplify right side
    7,007.02x = 37,357,684.85
  5. Step 5: Solve for x
    x = 37,357,684.85/7,007.02
  6. Step 6: Final answer
    x = 5,331.47

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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.