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Finding the Fourth Proportional to 9,006.84, 12,429.45 and 5,027.95

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Solution

The fourth proportional to 9,006.84, 12,429.45 and 5,027.95 is: 6,938.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.84 : 12,429.45 = 5,027.95 : x
  2. Step 2: Convert to fraction form
    9,006.84/12,429.45 = 5,027.95/x
  3. Step 3: Cross multiply
    9,006.84x = 12,429.45 × 5,027.95
  4. Step 4: Simplify right side
    9,006.84x = 62,494,653.13
  5. Step 5: Solve for x
    x = 62,494,653.13/9,006.84
  6. Step 6: Final answer
    x = 6,938.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.