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Finding the Fourth Proportional to 9,459.32, 14,191 and 2,886

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Solution

The fourth proportional to 9,459.32, 14,191 and 2,886 is: 4,329.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.32 : 14,191 = 2,886 : x
  2. Step 2: Convert to fraction form
    9,459.32/14,191 = 2,886/x
  3. Step 3: Cross multiply
    9,459.32x = 14,191 × 2,886
  4. Step 4: Simplify right side
    9,459.32x = 40,955,226
  5. Step 5: Solve for x
    x = 40,955,226/9,459.32
  6. Step 6: Final answer
    x = 4,329.62

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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.