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Finding the Fourth Proportional to 9,453.16, 13,040.22 and 5,915.62

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Solution

The fourth proportional to 9,453.16, 13,040.22 and 5,915.62 is: 8,160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.16 : 13,040.22 = 5,915.62 : x
  2. Step 2: Convert to fraction form
    9,453.16/13,040.22 = 5,915.62/x
  3. Step 3: Cross multiply
    9,453.16x = 13,040.22 × 5,915.62
  4. Step 4: Simplify right side
    9,453.16x = 77,140,986.24
  5. Step 5: Solve for x
    x = 77,140,986.24/9,453.16
  6. Step 6: Final answer
    x = 8,160.34

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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.