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Finding the Fourth Proportional to 6,503.69, 8,978.96 and 4,269.47

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Solution

The fourth proportional to 6,503.69, 8,978.96 and 4,269.47 is: 5,894.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.69 : 8,978.96 = 4,269.47 : x
  2. Step 2: Convert to fraction form
    6,503.69/8,978.96 = 4,269.47/x
  3. Step 3: Cross multiply
    6,503.69x = 8,978.96 × 4,269.47
  4. Step 4: Simplify right side
    6,503.69x = 38,335,409.46
  5. Step 5: Solve for x
    x = 38,335,409.46/6,503.69
  6. Step 6: Final answer
    x = 5,894.41

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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.