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Finding the Fourth Proportional to 9,456.02, 13,052.18 and 5,478.12

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Solution

The fourth proportional to 9,456.02, 13,052.18 and 5,478.12 is: 7,561.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.02 : 13,052.18 = 5,478.12 : x
  2. Step 2: Convert to fraction form
    9,456.02/13,052.18 = 5,478.12/x
  3. Step 3: Cross multiply
    9,456.02x = 13,052.18 × 5,478.12
  4. Step 4: Simplify right side
    9,456.02x = 71,501,408.30
  5. Step 5: Solve for x
    x = 71,501,408.30/9,456.02
  6. Step 6: Final answer
    x = 7,561.47

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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.