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Finding the Fourth Proportional to 9,357, 14,036.31 and 2,431.50

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Solution

The fourth proportional to 9,357, 14,036.31 and 2,431.50 is: 3,647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357 : 14,036.31 = 2,431.50 : x
  2. Step 2: Convert to fraction form
    9,357/14,036.31 = 2,431.50/x
  3. Step 3: Cross multiply
    9,357x = 14,036.31 × 2,431.50
  4. Step 4: Simplify right side
    9,357x = 34,129,287.77
  5. Step 5: Solve for x
    x = 34,129,287.77/9,357
  6. Step 6: Final answer
    x = 3,647.46

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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.