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Finding the Fourth Proportional to 9,415.84, 12,993.75 and 5,436.87

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Solution

The fourth proportional to 9,415.84, 12,993.75 and 5,436.87 is: 7,502.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.84 : 12,993.75 = 5,436.87 : x
  2. Step 2: Convert to fraction form
    9,415.84/12,993.75 = 5,436.87/x
  3. Step 3: Cross multiply
    9,415.84x = 12,993.75 × 5,436.87
  4. Step 4: Simplify right side
    9,415.84x = 70,645,276.69
  5. Step 5: Solve for x
    x = 70,645,276.69/9,415.84
  6. Step 6: Final answer
    x = 7,502.81

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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.