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Finding the Fourth Proportional to 9,776.45, 13,487.96 and 6,421.08

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Solution

The fourth proportional to 9,776.45, 13,487.96 and 6,421.08 is: 8,858.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.45 : 13,487.96 = 6,421.08 : x
  2. Step 2: Convert to fraction form
    9,776.45/13,487.96 = 6,421.08/x
  3. Step 3: Cross multiply
    9,776.45x = 13,487.96 × 6,421.08
  4. Step 4: Simplify right side
    9,776.45x = 86,607,170.65
  5. Step 5: Solve for x
    x = 86,607,170.65/9,776.45
  6. Step 6: Final answer
    x = 8,858.76

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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.