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Finding the Fourth Proportional to 6,456.48, 9,681.52 and 2,295.87

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Solution

The fourth proportional to 6,456.48, 9,681.52 and 2,295.87 is: 3,442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.48 : 9,681.52 = 2,295.87 : x
  2. Step 2: Convert to fraction form
    6,456.48/9,681.52 = 2,295.87/x
  3. Step 3: Cross multiply
    6,456.48x = 9,681.52 × 2,295.87
  4. Step 4: Simplify right side
    6,456.48x = 22,227,511.32
  5. Step 5: Solve for x
    x = 22,227,511.32/6,456.48
  6. Step 6: Final answer
    x = 3,442.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.