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Finding the Fourth Proportional to 9,257.09, 12,774.74 and 5,065.34

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Solution

The fourth proportional to 9,257.09, 12,774.74 and 5,065.34 is: 6,990.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.09 : 12,774.74 = 5,065.34 : x
  2. Step 2: Convert to fraction form
    9,257.09/12,774.74 = 5,065.34/x
  3. Step 3: Cross multiply
    9,257.09x = 12,774.74 × 5,065.34
  4. Step 4: Simplify right side
    9,257.09x = 64,708,312.31
  5. Step 5: Solve for x
    x = 64,708,312.31/9,257.09
  6. Step 6: Final answer
    x = 6,990.14

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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.