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Finding the Fourth Proportional to 12,397.84, 17,109.03 and 6,808.84

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Solution

The fourth proportional to 12,397.84, 17,109.03 and 6,808.84 is: 9,396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.84 : 17,109.03 = 6,808.84 : x
  2. Step 2: Convert to fraction form
    12,397.84/17,109.03 = 6,808.84/x
  3. Step 3: Cross multiply
    12,397.84x = 17,109.03 × 6,808.84
  4. Step 4: Simplify right side
    12,397.84x = 116,492,647.83
  5. Step 5: Solve for x
    x = 116,492,647.83/12,397.84
  6. Step 6: Final answer
    x = 9,396.21

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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.