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Finding the Fourth Proportional to 9,475.56, 13,075.65 and 5,226.39

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Solution

The fourth proportional to 9,475.56, 13,075.65 and 5,226.39 is: 7,212.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.56 : 13,075.65 = 5,226.39 : x
  2. Step 2: Convert to fraction form
    9,475.56/13,075.65 = 5,226.39/x
  3. Step 3: Cross multiply
    9,475.56x = 13,075.65 × 5,226.39
  4. Step 4: Simplify right side
    9,475.56x = 68,338,446.40
  5. Step 5: Solve for x
    x = 68,338,446.40/9,475.56
  6. Step 6: Final answer
    x = 7,212.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.