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Finding the Fourth Proportional to 9,197.20, 13,804.71 and 8,697.70

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Solution

The fourth proportional to 9,197.20, 13,804.71 and 8,697.70 is: 13,054.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.20 : 13,804.71 = 8,697.70 : x
  2. Step 2: Convert to fraction form
    9,197.20/13,804.71 = 8,697.70/x
  3. Step 3: Cross multiply
    9,197.20x = 13,804.71 × 8,697.70
  4. Step 4: Simplify right side
    9,197.20x = 120,069,226.17
  5. Step 5: Solve for x
    x = 120,069,226.17/9,197.20
  6. Step 6: Final answer
    x = 13,054.98

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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.