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Finding the Fourth Proportional to 9,742.90, 13,446.95 and 5,495.26

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Solution

The fourth proportional to 9,742.90, 13,446.95 and 5,495.26 is: 7,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.90 : 13,446.95 = 5,495.26 : x
  2. Step 2: Convert to fraction form
    9,742.90/13,446.95 = 5,495.26/x
  3. Step 3: Cross multiply
    9,742.90x = 13,446.95 × 5,495.26
  4. Step 4: Simplify right side
    9,742.90x = 73,894,391.75
  5. Step 5: Solve for x
    x = 73,894,391.75/9,742.90
  6. Step 6: Final answer
    x = 7,584.44

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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.