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Finding the Fourth Proportional to 9,876.36, 14,814.24 and 4,033.02

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Solution

The fourth proportional to 9,876.36, 14,814.24 and 4,033.02 is: 6,049.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.36 : 14,814.24 = 4,033.02 : x
  2. Step 2: Convert to fraction form
    9,876.36/14,814.24 = 4,033.02/x
  3. Step 3: Cross multiply
    9,876.36x = 14,814.24 × 4,033.02
  4. Step 4: Simplify right side
    9,876.36x = 59,746,126.20
  5. Step 5: Solve for x
    x = 59,746,126.20/9,876.36
  6. Step 6: Final answer
    x = 6,049.41

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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.