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Finding the Fourth Proportional to 6,947.01, 9,586.88 and 3,803.19

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Solution

The fourth proportional to 6,947.01, 9,586.88 and 3,803.19 is: 5,248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.01 : 9,586.88 = 3,803.19 : x
  2. Step 2: Convert to fraction form
    6,947.01/9,586.88 = 3,803.19/x
  3. Step 3: Cross multiply
    6,947.01x = 9,586.88 × 3,803.19
  4. Step 4: Simplify right side
    6,947.01x = 36,460,707.13
  5. Step 5: Solve for x
    x = 36,460,707.13/6,947.01
  6. Step 6: Final answer
    x = 5,248.40

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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.