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Finding the Fourth Proportional to 9,257.48, 13,880.06 and 5,099.45

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Solution

The fourth proportional to 9,257.48, 13,880.06 and 5,099.45 is: 7,645.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.48 : 13,880.06 = 5,099.45 : x
  2. Step 2: Convert to fraction form
    9,257.48/13,880.06 = 5,099.45/x
  3. Step 3: Cross multiply
    9,257.48x = 13,880.06 × 5,099.45
  4. Step 4: Simplify right side
    9,257.48x = 70,780,596.19
  5. Step 5: Solve for x
    x = 70,780,596.19/9,257.48
  6. Step 6: Final answer
    x = 7,645.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.