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Finding the Fourth Proportional to 9,776.62, 14,656.69 and 6,647.86

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Solution

The fourth proportional to 9,776.62, 14,656.69 and 6,647.86 is: 9,966.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.62 : 14,656.69 = 6,647.86 : x
  2. Step 2: Convert to fraction form
    9,776.62/14,656.69 = 6,647.86/x
  3. Step 3: Cross multiply
    9,776.62x = 14,656.69 × 6,647.86
  4. Step 4: Simplify right side
    9,776.62x = 97,435,623.18
  5. Step 5: Solve for x
    x = 97,435,623.18/9,776.62
  6. Step 6: Final answer
    x = 9,966.19

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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.