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Finding the Fourth Proportional to 9,114.60, 13,663.80 and 5,412.90

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Solution

The fourth proportional to 9,114.60, 13,663.80 and 5,412.90 is: 8,114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.60 : 13,663.80 = 5,412.90 : x
  2. Step 2: Convert to fraction form
    9,114.60/13,663.80 = 5,412.90/x
  3. Step 3: Cross multiply
    9,114.60x = 13,663.80 × 5,412.90
  4. Step 4: Simplify right side
    9,114.60x = 73,960,783.02
  5. Step 5: Solve for x
    x = 73,960,783.02/9,114.60
  6. Step 6: Final answer
    x = 8,114.54

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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.