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Finding the Fourth Proportional to 9,298.92, 13,947 and 3,058.68

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Solution

The fourth proportional to 9,298.92, 13,947 and 3,058.68 is: 4,587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.92 : 13,947 = 3,058.68 : x
  2. Step 2: Convert to fraction form
    9,298.92/13,947 = 3,058.68/x
  3. Step 3: Cross multiply
    9,298.92x = 13,947 × 3,058.68
  4. Step 4: Simplify right side
    9,298.92x = 42,659,409.96
  5. Step 5: Solve for x
    x = 42,659,409.96/9,298.92
  6. Step 6: Final answer
    x = 4,587.57

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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.