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Finding the Fourth Proportional to 9,267.36, 12,788.64 and 5,075.76

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Solution

The fourth proportional to 9,267.36, 12,788.64 and 5,075.76 is: 7,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.36 : 12,788.64 = 5,075.76 : x
  2. Step 2: Convert to fraction form
    9,267.36/12,788.64 = 5,075.76/x
  3. Step 3: Cross multiply
    9,267.36x = 12,788.64 × 5,075.76
  4. Step 4: Simplify right side
    9,267.36x = 64,912,067.37
  5. Step 5: Solve for x
    x = 64,912,067.37/9,267.36
  6. Step 6: Final answer
    x = 7,004.38

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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.