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Finding the Fourth Proportional to 12,006.03, 16,569.82 and 6,969.17

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Solution

The fourth proportional to 12,006.03, 16,569.82 and 6,969.17 is: 9,618.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.03 : 16,569.82 = 6,969.17 : x
  2. Step 2: Convert to fraction form
    12,006.03/16,569.82 = 6,969.17/x
  3. Step 3: Cross multiply
    12,006.03x = 16,569.82 × 6,969.17
  4. Step 4: Simplify right side
    12,006.03x = 115,477,774.75
  5. Step 5: Solve for x
    x = 115,477,774.75/12,006.03
  6. Step 6: Final answer
    x = 9,618.31

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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.