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Finding the Fourth Proportional to 9,134.96, 12,606.20 and 4,943.20

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Solution

The fourth proportional to 9,134.96, 12,606.20 and 4,943.20 is: 6,821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.96 : 12,606.20 = 4,943.20 : x
  2. Step 2: Convert to fraction form
    9,134.96/12,606.20 = 4,943.20/x
  3. Step 3: Cross multiply
    9,134.96x = 12,606.20 × 4,943.20
  4. Step 4: Simplify right side
    9,134.96x = 62,314,967.84
  5. Step 5: Solve for x
    x = 62,314,967.84/9,134.96
  6. Step 6: Final answer
    x = 6,821.59

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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.