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Finding the Fourth Proportional to 9,407.84, 12,981.12 and 5,429.12

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Solution

The fourth proportional to 9,407.84, 12,981.12 and 5,429.12 is: 7,491.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.84 : 12,981.12 = 5,429.12 : x
  2. Step 2: Convert to fraction form
    9,407.84/12,981.12 = 5,429.12/x
  3. Step 3: Cross multiply
    9,407.84x = 12,981.12 × 5,429.12
  4. Step 4: Simplify right side
    9,407.84x = 70,476,058.21
  5. Step 5: Solve for x
    x = 70,476,058.21/9,407.84
  6. Step 6: Final answer
    x = 7,491.21

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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.