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Finding the Fourth Proportional to 9,431.34, 13,015.53 and 5,452.10

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Solution

The fourth proportional to 9,431.34, 13,015.53 and 5,452.10 is: 7,524.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.34 : 13,015.53 = 5,452.10 : x
  2. Step 2: Convert to fraction form
    9,431.34/13,015.53 = 5,452.10/x
  3. Step 3: Cross multiply
    9,431.34x = 13,015.53 × 5,452.10
  4. Step 4: Simplify right side
    9,431.34x = 70,961,971.11
  5. Step 5: Solve for x
    x = 70,961,971.11/9,431.34
  6. Step 6: Final answer
    x = 7,524.06

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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.