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Finding the Fourth Proportional to 9,110.64, 13,664.70 and 2,535.24

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Solution

The fourth proportional to 9,110.64, 13,664.70 and 2,535.24 is: 3,802.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,110.64 : 13,664.70 = 2,535.24 : x
  2. Step 2: Convert to fraction form
    9,110.64/13,664.70 = 2,535.24/x
  3. Step 3: Cross multiply
    9,110.64x = 13,664.70 × 2,535.24
  4. Step 4: Simplify right side
    9,110.64x = 34,643,294.03
  5. Step 5: Solve for x
    x = 34,643,294.03/9,110.64
  6. Step 6: Final answer
    x = 3,802.51

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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.