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Finding the Fourth Proportional to 6,848.68, 10,219.22 and 6,430.72

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Solution

The fourth proportional to 6,848.68, 10,219.22 and 6,430.72 is: 9,595.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.68 : 10,219.22 = 6,430.72 : x
  2. Step 2: Convert to fraction form
    6,848.68/10,219.22 = 6,430.72/x
  3. Step 3: Cross multiply
    6,848.68x = 10,219.22 × 6,430.72
  4. Step 4: Simplify right side
    6,848.68x = 65,716,942.44
  5. Step 5: Solve for x
    x = 65,716,942.44/6,848.68
  6. Step 6: Final answer
    x = 9,595.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.