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Finding the Fourth Proportional to 9,271.84, 12,795.15 and 5,022.95

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Solution

The fourth proportional to 9,271.84, 12,795.15 and 5,022.95 is: 6,931.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.84 : 12,795.15 = 5,022.95 : x
  2. Step 2: Convert to fraction form
    9,271.84/12,795.15 = 5,022.95/x
  3. Step 3: Cross multiply
    9,271.84x = 12,795.15 × 5,022.95
  4. Step 4: Simplify right side
    9,271.84x = 64,269,398.69
  5. Step 5: Solve for x
    x = 64,269,398.69/9,271.84
  6. Step 6: Final answer
    x = 6,931.68

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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.