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Finding the Fourth Proportional to 7,932.83, 10,947.22 and 4,347.81

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Solution

The fourth proportional to 7,932.83, 10,947.22 and 4,347.81 is: 5,999.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.83 : 10,947.22 = 4,347.81 : x
  2. Step 2: Convert to fraction form
    7,932.83/10,947.22 = 4,347.81/x
  3. Step 3: Cross multiply
    7,932.83x = 10,947.22 × 4,347.81
  4. Step 4: Simplify right side
    7,932.83x = 47,596,421.72
  5. Step 5: Solve for x
    x = 47,596,421.72/7,932.83
  6. Step 6: Final answer
    x = 5,999.93

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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.