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Finding the Fourth Proportional to 6,919.32, 9,548.76 and 3,775.50

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Solution

The fourth proportional to 6,919.32, 9,548.76 and 3,775.50 is: 5,210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,919.32 : 9,548.76 = 3,775.50 : x
  2. Step 2: Convert to fraction form
    6,919.32/9,548.76 = 3,775.50/x
  3. Step 3: Cross multiply
    6,919.32x = 9,548.76 × 3,775.50
  4. Step 4: Simplify right side
    6,919.32x = 36,051,343.38
  5. Step 5: Solve for x
    x = 36,051,343.38/6,919.32
  6. Step 6: Final answer
    x = 5,210.24

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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.