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Finding the Fourth Proportional to 9,192.84, 12,700.98 and 6,410.76

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Solution

The fourth proportional to 9,192.84, 12,700.98 and 6,410.76 is: 8,857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.84 : 12,700.98 = 6,410.76 : x
  2. Step 2: Convert to fraction form
    9,192.84/12,700.98 = 6,410.76/x
  3. Step 3: Cross multiply
    9,192.84x = 12,700.98 × 6,410.76
  4. Step 4: Simplify right side
    9,192.84x = 81,422,934.54
  5. Step 5: Solve for x
    x = 81,422,934.54/9,192.84
  6. Step 6: Final answer
    x = 8,857.21

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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.