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Finding the Fourth Proportional to 9,008.32, 13,503.84 and 2,848

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Solution

The fourth proportional to 9,008.32, 13,503.84 and 2,848 is: 4,269.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,008.32 : 13,503.84 = 2,848 : x
  2. Step 2: Convert to fraction form
    9,008.32/13,503.84 = 2,848/x
  3. Step 3: Cross multiply
    9,008.32x = 13,503.84 × 2,848
  4. Step 4: Simplify right side
    9,008.32x = 38,458,936.32
  5. Step 5: Solve for x
    x = 38,458,936.32/9,008.32
  6. Step 6: Final answer
    x = 4,269.27

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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.