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Finding the Fourth Proportional to 9,256.32, 12,773.90 and 5,064.66

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Solution

The fourth proportional to 9,256.32, 12,773.90 and 5,064.66 is: 6,989.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.32 : 12,773.90 = 5,064.66 : x
  2. Step 2: Convert to fraction form
    9,256.32/12,773.90 = 5,064.66/x
  3. Step 3: Cross multiply
    9,256.32x = 12,773.90 × 5,064.66
  4. Step 4: Simplify right side
    9,256.32x = 64,695,460.37
  5. Step 5: Solve for x
    x = 64,695,460.37/9,256.32
  6. Step 6: Final answer
    x = 6,989.33

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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.