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Finding the Fourth Proportional to 9,417.84, 12,996.90 and 5,226

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Solution

The fourth proportional to 9,417.84, 12,996.90 and 5,226 is: 7,212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.84 : 12,996.90 = 5,226 : x
  2. Step 2: Convert to fraction form
    9,417.84/12,996.90 = 5,226/x
  3. Step 3: Cross multiply
    9,417.84x = 12,996.90 × 5,226
  4. Step 4: Simplify right side
    9,417.84x = 67,921,799.40
  5. Step 5: Solve for x
    x = 67,921,799.40/9,417.84
  6. Step 6: Final answer
    x = 7,212.04

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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.