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Finding the Fourth Proportional to 9,877.48, 13,634.16 and 7,864.56

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Solution

The fourth proportional to 9,877.48, 13,634.16 and 7,864.56 is: 10,855.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.48 : 13,634.16 = 7,864.56 : x
  2. Step 2: Convert to fraction form
    9,877.48/13,634.16 = 7,864.56/x
  3. Step 3: Cross multiply
    9,877.48x = 13,634.16 × 7,864.56
  4. Step 4: Simplify right side
    9,877.48x = 107,226,639.88
  5. Step 5: Solve for x
    x = 107,226,639.88/9,877.48
  6. Step 6: Final answer
    x = 10,855.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.