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Finding the Fourth Proportional to 9,408.60, 14,117.76 and 5,027.40

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Solution

The fourth proportional to 9,408.60, 14,117.76 and 5,027.40 is: 7,543.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.60 : 14,117.76 = 5,027.40 : x
  2. Step 2: Convert to fraction form
    9,408.60/14,117.76 = 5,027.40/x
  3. Step 3: Cross multiply
    9,408.60x = 14,117.76 × 5,027.40
  4. Step 4: Simplify right side
    9,408.60x = 70,975,626.62
  5. Step 5: Solve for x
    x = 70,975,626.62/9,408.60
  6. Step 6: Final answer
    x = 7,543.70

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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.