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Finding the Fourth Proportional to 6,544.60, 9,813.40 and 3,417.04

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Solution

The fourth proportional to 6,544.60, 9,813.40 and 3,417.04 is: 5,123.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.60 : 9,813.40 = 3,417.04 : x
  2. Step 2: Convert to fraction form
    6,544.60/9,813.40 = 3,417.04/x
  3. Step 3: Cross multiply
    6,544.60x = 9,813.40 × 3,417.04
  4. Step 4: Simplify right side
    6,544.60x = 33,532,748.08
  5. Step 5: Solve for x
    x = 33,532,748.08/6,544.60
  6. Step 6: Final answer
    x = 5,123.73

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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.