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Finding the Fourth Proportional to 9,776.62, 14,662.66 and 5,828.98

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Solution

The fourth proportional to 9,776.62, 14,662.66 and 5,828.98 is: 8,742.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.62 : 14,662.66 = 5,828.98 : x
  2. Step 2: Convert to fraction form
    9,776.62/14,662.66 = 5,828.98/x
  3. Step 3: Cross multiply
    9,776.62x = 14,662.66 × 5,828.98
  4. Step 4: Simplify right side
    9,776.62x = 85,468,322.74
  5. Step 5: Solve for x
    x = 85,468,322.74/9,776.62
  6. Step 6: Final answer
    x = 8,742.12

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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.