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Finding the Fourth Proportional to 9,135.81, 12,607.46 and 4,944.06

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Solution

The fourth proportional to 9,135.81, 12,607.46 and 4,944.06 is: 6,822.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.81 : 12,607.46 = 4,944.06 : x
  2. Step 2: Convert to fraction form
    9,135.81/12,607.46 = 4,944.06/x
  3. Step 3: Cross multiply
    9,135.81x = 12,607.46 × 4,944.06
  4. Step 4: Simplify right side
    9,135.81x = 62,332,038.69
  5. Step 5: Solve for x
    x = 62,332,038.69/9,135.81
  6. Step 6: Final answer
    x = 6,822.83

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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.