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Finding the Fourth Proportional to 9,837.82, 14,756.84 and 7,875.92

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Solution

The fourth proportional to 9,837.82, 14,756.84 and 7,875.92 is: 11,813.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.82 : 14,756.84 = 7,875.92 : x
  2. Step 2: Convert to fraction form
    9,837.82/14,756.84 = 7,875.92/x
  3. Step 3: Cross multiply
    9,837.82x = 14,756.84 × 7,875.92
  4. Step 4: Simplify right side
    9,837.82x = 116,223,718.34
  5. Step 5: Solve for x
    x = 116,223,718.34/9,837.82
  6. Step 6: Final answer
    x = 11,813.97

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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.