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Finding the Fourth Proportional to 6,732.68, 9,289.59 and 4,042.67

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Solution

The fourth proportional to 6,732.68, 9,289.59 and 4,042.67 is: 5,577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.68 : 9,289.59 = 4,042.67 : x
  2. Step 2: Convert to fraction form
    6,732.68/9,289.59 = 4,042.67/x
  3. Step 3: Cross multiply
    6,732.68x = 9,289.59 × 4,042.67
  4. Step 4: Simplify right side
    6,732.68x = 37,554,746.81
  5. Step 5: Solve for x
    x = 37,554,746.81/6,732.68
  6. Step 6: Final answer
    x = 5,577.98

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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.