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Finding the Fourth Proportional to 9,188.48, 13,771.78 and 6,400.05

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Solution

The fourth proportional to 9,188.48, 13,771.78 and 6,400.05 is: 9,592.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.48 : 13,771.78 = 6,400.05 : x
  2. Step 2: Convert to fraction form
    9,188.48/13,771.78 = 6,400.05/x
  3. Step 3: Cross multiply
    9,188.48x = 13,771.78 × 6,400.05
  4. Step 4: Simplify right side
    9,188.48x = 88,140,080.59
  5. Step 5: Solve for x
    x = 88,140,080.59/9,188.48
  6. Step 6: Final answer
    x = 9,592.45

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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.