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Finding the Fourth Proportional to 9,767.67, 14,656.77 and 6,482.31

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Solution

The fourth proportional to 9,767.67, 14,656.77 and 6,482.31 is: 9,726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.67 : 14,656.77 = 6,482.31 : x
  2. Step 2: Convert to fraction form
    9,767.67/14,656.77 = 6,482.31/x
  3. Step 3: Cross multiply
    9,767.67x = 14,656.77 × 6,482.31
  4. Step 4: Simplify right side
    9,767.67x = 95,009,726.74
  5. Step 5: Solve for x
    x = 95,009,726.74/9,767.67
  6. Step 6: Final answer
    x = 9,726.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.