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Finding the Fourth Proportional to 6,875.76, 9,493.48 and 4,226.72

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Solution

The fourth proportional to 6,875.76, 9,493.48 and 4,226.72 is: 5,835.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.76 : 9,493.48 = 4,226.72 : x
  2. Step 2: Convert to fraction form
    6,875.76/9,493.48 = 4,226.72/x
  3. Step 3: Cross multiply
    6,875.76x = 9,493.48 × 4,226.72
  4. Step 4: Simplify right side
    6,875.76x = 40,126,281.79
  5. Step 5: Solve for x
    x = 40,126,281.79/6,875.76
  6. Step 6: Final answer
    x = 5,835.90

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