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Finding the Fourth Proportional to 9,430.57, 14,132.44 and 6,945.85

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Solution

The fourth proportional to 9,430.57, 14,132.44 and 6,945.85 is: 10,408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.57 : 14,132.44 = 6,945.85 : x
  2. Step 2: Convert to fraction form
    9,430.57/14,132.44 = 6,945.85/x
  3. Step 3: Cross multiply
    9,430.57x = 14,132.44 × 6,945.85
  4. Step 4: Simplify right side
    9,430.57x = 98,161,702.98
  5. Step 5: Solve for x
    x = 98,161,702.98/9,430.57
  6. Step 6: Final answer
    x = 10,408.89

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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.