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Finding the Fourth Proportional to 9,257.76, 12,775.60 and 5,066

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Solution

The fourth proportional to 9,257.76, 12,775.60 and 5,066 is: 6,991.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.76 : 12,775.60 = 5,066 : x
  2. Step 2: Convert to fraction form
    9,257.76/12,775.60 = 5,066/x
  3. Step 3: Cross multiply
    9,257.76x = 12,775.60 × 5,066
  4. Step 4: Simplify right side
    9,257.76x = 64,721,189.60
  5. Step 5: Solve for x
    x = 64,721,189.60/9,257.76
  6. Step 6: Final answer
    x = 6,991.02

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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.