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Finding the Fourth Proportional to 9,314.37, 13,970.07 and 7,743.15

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Solution

The fourth proportional to 9,314.37, 13,970.07 and 7,743.15 is: 11,613.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.37 : 13,970.07 = 7,743.15 : x
  2. Step 2: Convert to fraction form
    9,314.37/13,970.07 = 7,743.15/x
  3. Step 3: Cross multiply
    9,314.37x = 13,970.07 × 7,743.15
  4. Step 4: Simplify right side
    9,314.37x = 108,172,347.52
  5. Step 5: Solve for x
    x = 108,172,347.52/9,314.37
  6. Step 6: Final answer
    x = 11,613.49

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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.