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Finding the Fourth Proportional to 9,656.64, 14,461.92 and 5,544

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Solution

The fourth proportional to 9,656.64, 14,461.92 and 5,544 is: 8,302.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.64 : 14,461.92 = 5,544 : x
  2. Step 2: Convert to fraction form
    9,656.64/14,461.92 = 5,544/x
  3. Step 3: Cross multiply
    9,656.64x = 14,461.92 × 5,544
  4. Step 4: Simplify right side
    9,656.64x = 80,176,884.48
  5. Step 5: Solve for x
    x = 80,176,884.48/9,656.64
  6. Step 6: Final answer
    x = 8,302.77

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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.