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Finding the Fourth Proportional to 9,103.51, 13,655.26 and 5,205.18

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Solution

The fourth proportional to 9,103.51, 13,655.26 and 5,205.18 is: 7,807.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.51 : 13,655.26 = 5,205.18 : x
  2. Step 2: Convert to fraction form
    9,103.51/13,655.26 = 5,205.18/x
  3. Step 3: Cross multiply
    9,103.51x = 13,655.26 × 5,205.18
  4. Step 4: Simplify right side
    9,103.51x = 71,078,086.25
  5. Step 5: Solve for x
    x = 71,078,086.25/9,103.51
  6. Step 6: Final answer
    x = 7,807.77

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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.