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Finding the Fourth Proportional to 7,113.84, 9,817.11 and 3,970.04

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Solution

The fourth proportional to 7,113.84, 9,817.11 and 3,970.04 is: 5,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.84 : 9,817.11 = 3,970.04 : x
  2. Step 2: Convert to fraction form
    7,113.84/9,817.11 = 3,970.04/x
  3. Step 3: Cross multiply
    7,113.84x = 9,817.11 × 3,970.04
  4. Step 4: Simplify right side
    7,113.84x = 38,974,270.30
  5. Step 5: Solve for x
    x = 38,974,270.30/7,113.84
  6. Step 6: Final answer
    x = 5,478.65

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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.