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Finding the Fourth Proportional to 6,470.16, 8,921.72 and 4,370.64

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Solution

The fourth proportional to 6,470.16, 8,921.72 and 4,370.64 is: 6,026.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.16 : 8,921.72 = 4,370.64 : x
  2. Step 2: Convert to fraction form
    6,470.16/8,921.72 = 4,370.64/x
  3. Step 3: Cross multiply
    6,470.16x = 8,921.72 × 4,370.64
  4. Step 4: Simplify right side
    6,470.16x = 38,993,626.30
  5. Step 5: Solve for x
    x = 38,993,626.30/6,470.16
  6. Step 6: Final answer
    x = 6,026.69

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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.