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Finding the Fourth Proportional to 9,313.46, 13,976.47 and 3,470.07

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Solution

The fourth proportional to 9,313.46, 13,976.47 and 3,470.07 is: 5,207.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.46 : 13,976.47 = 3,470.07 : x
  2. Step 2: Convert to fraction form
    9,313.46/13,976.47 = 3,470.07/x
  3. Step 3: Cross multiply
    9,313.46x = 13,976.47 × 3,470.07
  4. Step 4: Simplify right side
    9,313.46x = 48,499,320.58
  5. Step 5: Solve for x
    x = 48,499,320.58/9,313.46
  6. Step 6: Final answer
    x = 5,207.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.