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Finding the Fourth Proportional to 9,295.53, 12,824.18 and 5,314.51

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Solution

The fourth proportional to 9,295.53, 12,824.18 and 5,314.51 is: 7,331.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.53 : 12,824.18 = 5,314.51 : x
  2. Step 2: Convert to fraction form
    9,295.53/12,824.18 = 5,314.51/x
  3. Step 3: Cross multiply
    9,295.53x = 12,824.18 × 5,314.51
  4. Step 4: Simplify right side
    9,295.53x = 68,154,168.73
  5. Step 5: Solve for x
    x = 68,154,168.73/9,295.53
  6. Step 6: Final answer
    x = 7,331.93

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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.