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Finding the Fourth Proportional to 7,004.32, 9,657.36 and 5,673.12

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Solution

The fourth proportional to 7,004.32, 9,657.36 and 5,673.12 is: 7,821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.32 : 9,657.36 = 5,673.12 : x
  2. Step 2: Convert to fraction form
    7,004.32/9,657.36 = 5,673.12/x
  3. Step 3: Cross multiply
    7,004.32x = 9,657.36 × 5,673.12
  4. Step 4: Simplify right side
    7,004.32x = 54,787,362.16
  5. Step 5: Solve for x
    x = 54,787,362.16/7,004.32
  6. Step 6: Final answer
    x = 7,821.94

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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.