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Finding the Fourth Proportional to 10,337.30, 14,270.88 and 6,806.12

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Solution

The fourth proportional to 10,337.30, 14,270.88 and 6,806.12 is: 9,396.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.30 : 14,270.88 = 6,806.12 : x
  2. Step 2: Convert to fraction form
    10,337.30/14,270.88 = 6,806.12/x
  3. Step 3: Cross multiply
    10,337.30x = 14,270.88 × 6,806.12
  4. Step 4: Simplify right side
    10,337.30x = 97,129,321.79
  5. Step 5: Solve for x
    x = 97,129,321.79/10,337.30
  6. Step 6: Final answer
    x = 9,396.00

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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.