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Finding the Fourth Proportional to 9,508, 14,267.76 and 4,036

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Solution

The fourth proportional to 9,508, 14,267.76 and 4,036 is: 6,056.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508 : 14,267.76 = 4,036 : x
  2. Step 2: Convert to fraction form
    9,508/14,267.76 = 4,036/x
  3. Step 3: Cross multiply
    9,508x = 14,267.76 × 4,036
  4. Step 4: Simplify right side
    9,508x = 57,584,679.36
  5. Step 5: Solve for x
    x = 57,584,679.36/9,508
  6. Step 6: Final answer
    x = 6,056.45

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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.