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Finding the Fourth Proportional to 9,264.72, 13,887.36 and 3,417.60

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Solution

The fourth proportional to 9,264.72, 13,887.36 and 3,417.60 is: 5,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.72 : 13,887.36 = 3,417.60 : x
  2. Step 2: Convert to fraction form
    9,264.72/13,887.36 = 3,417.60/x
  3. Step 3: Cross multiply
    9,264.72x = 13,887.36 × 3,417.60
  4. Step 4: Simplify right side
    9,264.72x = 47,461,441.54
  5. Step 5: Solve for x
    x = 47,461,441.54/9,264.72
  6. Step 6: Final answer
    x = 5,122.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.