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Finding the Fourth Proportional to 7,148.16, 9,861.12 and 4,662.72

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Solution

The fourth proportional to 7,148.16, 9,861.12 and 4,662.72 is: 6,432.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.16 : 9,861.12 = 4,662.72 : x
  2. Step 2: Convert to fraction form
    7,148.16/9,861.12 = 4,662.72/x
  3. Step 3: Cross multiply
    7,148.16x = 9,861.12 × 4,662.72
  4. Step 4: Simplify right side
    7,148.16x = 45,979,641.45
  5. Step 5: Solve for x
    x = 45,979,641.45/7,148.16
  6. Step 6: Final answer
    x = 6,432.37

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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.