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Finding the Fourth Proportional to 9,403.94, 12,947.93 and 7,984.82

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Solution

The fourth proportional to 9,403.94, 12,947.93 and 7,984.82 is: 10,994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.94 : 12,947.93 = 7,984.82 : x
  2. Step 2: Convert to fraction form
    9,403.94/12,947.93 = 7,984.82/x
  3. Step 3: Cross multiply
    9,403.94x = 12,947.93 × 7,984.82
  4. Step 4: Simplify right side
    9,403.94x = 103,386,957.73
  5. Step 5: Solve for x
    x = 103,386,957.73/9,403.94
  6. Step 6: Final answer
    x = 10,994.00

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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.