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Finding the Fourth Proportional to 9,697.32, 13,382.01 and 5,448.40

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Solution

The fourth proportional to 9,697.32, 13,382.01 and 5,448.40 is: 7,518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.32 : 13,382.01 = 5,448.40 : x
  2. Step 2: Convert to fraction form
    9,697.32/13,382.01 = 5,448.40/x
  3. Step 3: Cross multiply
    9,697.32x = 13,382.01 × 5,448.40
  4. Step 4: Simplify right side
    9,697.32x = 72,910,509.83
  5. Step 5: Solve for x
    x = 72,910,509.83/9,697.32
  6. Step 6: Final answer
    x = 7,518.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.