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Finding the Fourth Proportional to 9,809.60, 14,703.32 and 4,874.24

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Solution

The fourth proportional to 9,809.60, 14,703.32 and 4,874.24 is: 7,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.60 : 14,703.32 = 4,874.24 : x
  2. Step 2: Convert to fraction form
    9,809.60/14,703.32 = 4,874.24/x
  3. Step 3: Cross multiply
    9,809.60x = 14,703.32 × 4,874.24
  4. Step 4: Simplify right side
    9,809.60x = 71,667,510.48
  5. Step 5: Solve for x
    x = 71,667,510.48/9,809.60
  6. Step 6: Final answer
    x = 7,305.85

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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.