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Finding the Fourth Proportional to 9,315.76, 13,976.64 and 3,473.20

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Solution

The fourth proportional to 9,315.76, 13,976.64 and 3,473.20 is: 5,210.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.76 : 13,976.64 = 3,473.20 : x
  2. Step 2: Convert to fraction form
    9,315.76/13,976.64 = 3,473.20/x
  3. Step 3: Cross multiply
    9,315.76x = 13,976.64 × 3,473.20
  4. Step 4: Simplify right side
    9,315.76x = 48,543,666.05
  5. Step 5: Solve for x
    x = 48,543,666.05/9,315.76
  6. Step 6: Final answer
    x = 5,210.92

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Why These Related Problems?

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