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Finding the Fourth Proportional to 9,257.64, 12,777.59 and 6,390.39

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Solution

The fourth proportional to 9,257.64, 12,777.59 and 6,390.39 is: 8,820.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.64 : 12,777.59 = 6,390.39 : x
  2. Step 2: Convert to fraction form
    9,257.64/12,777.59 = 6,390.39/x
  3. Step 3: Cross multiply
    9,257.64x = 12,777.59 × 6,390.39
  4. Step 4: Simplify right side
    9,257.64x = 81,653,783.36
  5. Step 5: Solve for x
    x = 81,653,783.36/9,257.64
  6. Step 6: Final answer
    x = 8,820.15

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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.