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Finding the Fourth Proportional to 9,873.88, 14,814.28 and 4,326.50

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Solution

The fourth proportional to 9,873.88, 14,814.28 and 4,326.50 is: 6,491.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.88 : 14,814.28 = 4,326.50 : x
  2. Step 2: Convert to fraction form
    9,873.88/14,814.28 = 4,326.50/x
  3. Step 3: Cross multiply
    9,873.88x = 14,814.28 × 4,326.50
  4. Step 4: Simplify right side
    9,873.88x = 64,093,984.26
  5. Step 5: Solve for x
    x = 64,093,984.26/9,873.88
  6. Step 6: Final answer
    x = 6,491.27

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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.