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Finding the Fourth Proportional to 9,102.58, 13,650.12 and 3,482.33

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Solution

The fourth proportional to 9,102.58, 13,650.12 and 3,482.33 is: 5,222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.58 : 13,650.12 = 3,482.33 : x
  2. Step 2: Convert to fraction form
    9,102.58/13,650.12 = 3,482.33/x
  3. Step 3: Cross multiply
    9,102.58x = 13,650.12 × 3,482.33
  4. Step 4: Simplify right side
    9,102.58x = 47,534,154.13
  5. Step 5: Solve for x
    x = 47,534,154.13/9,102.58
  6. Step 6: Final answer
    x = 5,222.05

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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.