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Finding the Fourth Proportional to 9,698.87, 14,544.65 and 3,123.29

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Solution

The fourth proportional to 9,698.87, 14,544.65 and 3,123.29 is: 4,683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.87 : 14,544.65 = 3,123.29 : x
  2. Step 2: Convert to fraction form
    9,698.87/14,544.65 = 3,123.29/x
  3. Step 3: Cross multiply
    9,698.87x = 14,544.65 × 3,123.29
  4. Step 4: Simplify right side
    9,698.87x = 45,427,204.07
  5. Step 5: Solve for x
    x = 45,427,204.07/9,698.87
  6. Step 6: Final answer
    x = 4,683.76

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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.