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Finding the Fourth Proportional to 9,356.67, 14,035.58 and 3,806.96

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Solution

The fourth proportional to 9,356.67, 14,035.58 and 3,806.96 is: 5,710.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.67 : 14,035.58 = 3,806.96 : x
  2. Step 2: Convert to fraction form
    9,356.67/14,035.58 = 3,806.96/x
  3. Step 3: Cross multiply
    9,356.67x = 14,035.58 × 3,806.96
  4. Step 4: Simplify right side
    9,356.67x = 53,432,802.42
  5. Step 5: Solve for x
    x = 53,432,802.42/9,356.67
  6. Step 6: Final answer
    x = 5,710.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.