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Finding the Fourth Proportional to 9,671.16, 13,347.27 and 5,693.25

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Solution

The fourth proportional to 9,671.16, 13,347.27 and 5,693.25 is: 7,857.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.16 : 13,347.27 = 5,693.25 : x
  2. Step 2: Convert to fraction form
    9,671.16/13,347.27 = 5,693.25/x
  3. Step 3: Cross multiply
    9,671.16x = 13,347.27 × 5,693.25
  4. Step 4: Simplify right side
    9,671.16x = 75,989,344.93
  5. Step 5: Solve for x
    x = 75,989,344.93/9,671.16
  6. Step 6: Final answer
    x = 7,857.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.