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Finding the Fourth Proportional to 9,267.75, 12,788.88 and 5,730.28

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Solution

The fourth proportional to 9,267.75, 12,788.88 and 5,730.28 is: 7,907.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.75 : 12,788.88 = 5,730.28 : x
  2. Step 2: Convert to fraction form
    9,267.75/12,788.88 = 5,730.28/x
  3. Step 3: Cross multiply
    9,267.75x = 12,788.88 × 5,730.28
  4. Step 4: Simplify right side
    9,267.75x = 73,283,863.29
  5. Step 5: Solve for x
    x = 73,283,863.29/9,267.75
  6. Step 6: Final answer
    x = 7,907.41

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1.5x scale

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.