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Finding the Fourth Proportional to 9,213.84, 12,715.63 and 6,971.83

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Solution

The fourth proportional to 9,213.84, 12,715.63 and 6,971.83 is: 9,621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.84 : 12,715.63 = 6,971.83 : x
  2. Step 2: Convert to fraction form
    9,213.84/12,715.63 = 6,971.83/x
  3. Step 3: Cross multiply
    9,213.84x = 12,715.63 × 6,971.83
  4. Step 4: Simplify right side
    9,213.84x = 88,651,210.70
  5. Step 5: Solve for x
    x = 88,651,210.70/9,213.84
  6. Step 6: Final answer
    x = 9,621.53

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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.