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Finding the Fourth Proportional to 9,711.34, 14,563.30 and 3,470.18

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Solution

The fourth proportional to 9,711.34, 14,563.30 and 3,470.18 is: 5,203.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.34 : 14,563.30 = 3,470.18 : x
  2. Step 2: Convert to fraction form
    9,711.34/14,563.30 = 3,470.18/x
  3. Step 3: Cross multiply
    9,711.34x = 14,563.30 × 3,470.18
  4. Step 4: Simplify right side
    9,711.34x = 50,537,272.39
  5. Step 5: Solve for x
    x = 50,537,272.39/9,711.34
  6. Step 6: Final answer
    x = 5,203.94

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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.