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Finding the Fourth Proportional to 9,193.60, 13,785.36 and 3,646.72

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Solution

The fourth proportional to 9,193.60, 13,785.36 and 3,646.72 is: 5,468.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.60 : 13,785.36 = 3,646.72 : x
  2. Step 2: Convert to fraction form
    9,193.60/13,785.36 = 3,646.72/x
  3. Step 3: Cross multiply
    9,193.60x = 13,785.36 × 3,646.72
  4. Step 4: Simplify right side
    9,193.60x = 50,271,348.02
  5. Step 5: Solve for x
    x = 50,271,348.02/9,193.60
  6. Step 6: Final answer
    x = 5,468.08

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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.