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Finding the Fourth Proportional to 9,876.24, 14,814.36 and 3,955.82

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Solution

The fourth proportional to 9,876.24, 14,814.36 and 3,955.82 is: 5,933.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.24 : 14,814.36 = 3,955.82 : x
  2. Step 2: Convert to fraction form
    9,876.24/14,814.36 = 3,955.82/x
  3. Step 3: Cross multiply
    9,876.24x = 14,814.36 × 3,955.82
  4. Step 4: Simplify right side
    9,876.24x = 58,602,867.50
  5. Step 5: Solve for x
    x = 58,602,867.50/9,876.24
  6. Step 6: Final answer
    x = 5,933.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.