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Finding the Fourth Proportional to 9,492.39, 13,102.43 and 5,957.55

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Solution

The fourth proportional to 9,492.39, 13,102.43 and 5,957.55 is: 8,223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.39 : 13,102.43 = 5,957.55 : x
  2. Step 2: Convert to fraction form
    9,492.39/13,102.43 = 5,957.55/x
  3. Step 3: Cross multiply
    9,492.39x = 13,102.43 × 5,957.55
  4. Step 4: Simplify right side
    9,492.39x = 78,058,352.06
  5. Step 5: Solve for x
    x = 78,058,352.06/9,492.39
  6. Step 6: Final answer
    x = 8,223.26

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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.