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Finding the Fourth Proportional to 9,257.94, 12,777.18 and 5,225.58

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Solution

The fourth proportional to 9,257.94, 12,777.18 and 5,225.58 is: 7,211.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.94 : 12,777.18 = 5,225.58 : x
  2. Step 2: Convert to fraction form
    9,257.94/12,777.18 = 5,225.58/x
  3. Step 3: Cross multiply
    9,257.94x = 12,777.18 × 5,225.58
  4. Step 4: Simplify right side
    9,257.94x = 66,768,176.26
  5. Step 5: Solve for x
    x = 66,768,176.26/9,257.94
  6. Step 6: Final answer
    x = 7,211.99

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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.