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Finding the Fourth Proportional to 9,315.16, 13,972.69 and 2,295.16

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Solution

The fourth proportional to 9,315.16, 13,972.69 and 2,295.16 is: 3,442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.16 : 13,972.69 = 2,295.16 : x
  2. Step 2: Convert to fraction form
    9,315.16/13,972.69 = 2,295.16/x
  3. Step 3: Cross multiply
    9,315.16x = 13,972.69 × 2,295.16
  4. Step 4: Simplify right side
    9,315.16x = 32,069,559.18
  5. Step 5: Solve for x
    x = 32,069,559.18/9,315.16
  6. Step 6: Final answer
    x = 3,442.73

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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.