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Finding the Fourth Proportional to 9,709.60, 14,563.28 and 2,690.12

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Solution

The fourth proportional to 9,709.60, 14,563.28 and 2,690.12 is: 4,034.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.60 : 14,563.28 = 2,690.12 : x
  2. Step 2: Convert to fraction form
    9,709.60/14,563.28 = 2,690.12/x
  3. Step 3: Cross multiply
    9,709.60x = 14,563.28 × 2,690.12
  4. Step 4: Simplify right side
    9,709.60x = 39,176,970.79
  5. Step 5: Solve for x
    x = 39,176,970.79/9,709.60
  6. Step 6: Final answer
    x = 4,034.87

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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.