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Finding the Fourth Proportional to 9,569.94, 13,209.30 and 6,387.84

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Solution

The fourth proportional to 9,569.94, 13,209.30 and 6,387.84 is: 8,817.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.94 : 13,209.30 = 6,387.84 : x
  2. Step 2: Convert to fraction form
    9,569.94/13,209.30 = 6,387.84/x
  3. Step 3: Cross multiply
    9,569.94x = 13,209.30 × 6,387.84
  4. Step 4: Simplify right side
    9,569.94x = 84,378,894.91
  5. Step 5: Solve for x
    x = 84,378,894.91/9,569.94
  6. Step 6: Final answer
    x = 8,817.08

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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.