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Finding the Fourth Proportional to 9,315.58, 13,970.49 and 3,474.94

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Solution

The fourth proportional to 9,315.58, 13,970.49 and 3,474.94 is: 5,211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.58 : 13,970.49 = 3,474.94 : x
  2. Step 2: Convert to fraction form
    9,315.58/13,970.49 = 3,474.94/x
  3. Step 3: Cross multiply
    9,315.58x = 13,970.49 × 3,474.94
  4. Step 4: Simplify right side
    9,315.58x = 48,546,614.52
  5. Step 5: Solve for x
    x = 48,546,614.52/9,315.58
  6. Step 6: Final answer
    x = 5,211.34

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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.