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Finding the Fourth Proportional to 9,189.70, 13,784.55 and 6,597.70

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Solution

The fourth proportional to 9,189.70, 13,784.55 and 6,597.70 is: 9,896.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.70 : 13,784.55 = 6,597.70 : x
  2. Step 2: Convert to fraction form
    9,189.70/13,784.55 = 6,597.70/x
  3. Step 3: Cross multiply
    9,189.70x = 13,784.55 × 6,597.70
  4. Step 4: Simplify right side
    9,189.70x = 90,946,325.54
  5. Step 5: Solve for x
    x = 90,946,325.54/9,189.70
  6. Step 6: Final answer
    x = 9,896.55

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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.