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Finding the Fourth Proportional to 9,266.76, 12,788.10 and 5,730.12

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Solution

The fourth proportional to 9,266.76, 12,788.10 and 5,730.12 is: 7,907.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.76 : 12,788.10 = 5,730.12 : x
  2. Step 2: Convert to fraction form
    9,266.76/12,788.10 = 5,730.12/x
  3. Step 3: Cross multiply
    9,266.76x = 12,788.10 × 5,730.12
  4. Step 4: Simplify right side
    9,266.76x = 73,277,347.57
  5. Step 5: Solve for x
    x = 73,277,347.57/9,266.76
  6. Step 6: Final answer
    x = 7,907.55

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