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Finding the Fourth Proportional to 9,256.42, 12,773.54 and 5,278.81

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Solution

The fourth proportional to 9,256.42, 12,773.54 and 5,278.81 is: 7,284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.42 : 12,773.54 = 5,278.81 : x
  2. Step 2: Convert to fraction form
    9,256.42/12,773.54 = 5,278.81/x
  3. Step 3: Cross multiply
    9,256.42x = 12,773.54 × 5,278.81
  4. Step 4: Simplify right side
    9,256.42x = 67,429,064.29
  5. Step 5: Solve for x
    x = 67,429,064.29/9,256.42
  6. Step 6: Final answer
    x = 7,284.58

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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.