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Finding the Fourth Proportional to 6,470.34, 8,927.70 and 4,111.62

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Solution

The fourth proportional to 6,470.34, 8,927.70 and 4,111.62 is: 5,673.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.34 : 8,927.70 = 4,111.62 : x
  2. Step 2: Convert to fraction form
    6,470.34/8,927.70 = 4,111.62/x
  3. Step 3: Cross multiply
    6,470.34x = 8,927.70 × 4,111.62
  4. Step 4: Simplify right side
    6,470.34x = 36,707,309.87
  5. Step 5: Solve for x
    x = 36,707,309.87/6,470.34
  6. Step 6: Final answer
    x = 5,673.17

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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.