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Finding the Fourth Proportional to 9,452.16, 13,047.54 and 7,101.09

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Solution

The fourth proportional to 9,452.16, 13,047.54 and 7,101.09 is: 9,802.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.16 : 13,047.54 = 7,101.09 : x
  2. Step 2: Convert to fraction form
    9,452.16/13,047.54 = 7,101.09/x
  3. Step 3: Cross multiply
    9,452.16x = 13,047.54 × 7,101.09
  4. Step 4: Simplify right side
    9,452.16x = 92,651,755.82
  5. Step 5: Solve for x
    x = 92,651,755.82/9,452.16
  6. Step 6: Final answer
    x = 9,802.18

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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.