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Finding the Fourth Proportional to 12,006.56, 16,569.02 and 6,973.70

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Solution

The fourth proportional to 12,006.56, 16,569.02 and 6,973.70 is: 9,623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.56 : 16,569.02 = 6,973.70 : x
  2. Step 2: Convert to fraction form
    12,006.56/16,569.02 = 6,973.70/x
  3. Step 3: Cross multiply
    12,006.56x = 16,569.02 × 6,973.70
  4. Step 4: Simplify right side
    12,006.56x = 115,547,309.36
  5. Step 5: Solve for x
    x = 115,547,309.36/12,006.56
  6. Step 6: Final answer
    x = 9,623.68

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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.