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Finding the Fourth Proportional to 9,603, 14,388.12 and 6,815.88

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Solution

The fourth proportional to 9,603, 14,388.12 and 6,815.88 is: 10,212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603 : 14,388.12 = 6,815.88 : x
  2. Step 2: Convert to fraction form
    9,603/14,388.12 = 6,815.88/x
  3. Step 3: Cross multiply
    9,603x = 14,388.12 × 6,815.88
  4. Step 4: Simplify right side
    9,603x = 98,067,699.35
  5. Step 5: Solve for x
    x = 98,067,699.35/9,603
  6. Step 6: Final answer
    x = 10,212.19

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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.