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Finding the Fourth Proportional to 9,006.99, 13,508.94 and 4,075.50

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Solution

The fourth proportional to 9,006.99, 13,508.94 and 4,075.50 is: 6,112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.99 : 13,508.94 = 4,075.50 : x
  2. Step 2: Convert to fraction form
    9,006.99/13,508.94 = 4,075.50/x
  3. Step 3: Cross multiply
    9,006.99x = 13,508.94 × 4,075.50
  4. Step 4: Simplify right side
    9,006.99x = 55,055,684.97
  5. Step 5: Solve for x
    x = 55,055,684.97/9,006.99
  6. Step 6: Final answer
    x = 6,112.55

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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.