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Finding the Fourth Proportional to 9,109.64, 13,663.10 and 2,535.14

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Solution

The fourth proportional to 9,109.64, 13,663.10 and 2,535.14 is: 3,802.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.64 : 13,663.10 = 2,535.14 : x
  2. Step 2: Convert to fraction form
    9,109.64/13,663.10 = 2,535.14/x
  3. Step 3: Cross multiply
    9,109.64x = 13,663.10 × 2,535.14
  4. Step 4: Simplify right side
    9,109.64x = 34,637,871.33
  5. Step 5: Solve for x
    x = 34,637,871.33/9,109.64
  6. Step 6: Final answer
    x = 3,802.33

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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.