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Finding the Fourth Proportional to 9,039.79, 13,569.27 and 8,006.50

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Solution

The fourth proportional to 9,039.79, 13,569.27 and 8,006.50 is: 12,018.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,039.79 : 13,569.27 = 8,006.50 : x
  2. Step 2: Convert to fraction form
    9,039.79/13,569.27 = 8,006.50/x
  3. Step 3: Cross multiply
    9,039.79x = 13,569.27 × 8,006.50
  4. Step 4: Simplify right side
    9,039.79x = 108,642,360.26
  5. Step 5: Solve for x
    x = 108,642,360.26/9,039.79
  6. Step 6: Final answer
    x = 12,018.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.