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Finding the Fourth Proportional to 9,272, 12,802.08 and 5,965.76

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Solution

The fourth proportional to 9,272, 12,802.08 and 5,965.76 is: 8,237.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272 : 12,802.08 = 5,965.76 : x
  2. Step 2: Convert to fraction form
    9,272/12,802.08 = 5,965.76/x
  3. Step 3: Cross multiply
    9,272x = 12,802.08 × 5,965.76
  4. Step 4: Simplify right side
    9,272x = 76,374,136.78
  5. Step 5: Solve for x
    x = 76,374,136.78/9,272
  6. Step 6: Final answer
    x = 8,237.07

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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.