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Finding the Fourth Proportional to 9,412.82, 14,110.59 and 3,252.50

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Solution

The fourth proportional to 9,412.82, 14,110.59 and 3,252.50 is: 4,875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.82 : 14,110.59 = 3,252.50 : x
  2. Step 2: Convert to fraction form
    9,412.82/14,110.59 = 3,252.50/x
  3. Step 3: Cross multiply
    9,412.82x = 14,110.59 × 3,252.50
  4. Step 4: Simplify right side
    9,412.82x = 45,894,693.98
  5. Step 5: Solve for x
    x = 45,894,693.98/9,412.82
  6. Step 6: Final answer
    x = 4,875.76

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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.