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Finding the Fourth Proportional to 9,295.68, 12,824.40 and 5,314.67

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Solution

The fourth proportional to 9,295.68, 12,824.40 and 5,314.67 is: 7,332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.68 : 12,824.40 = 5,314.67 : x
  2. Step 2: Convert to fraction form
    9,295.68/12,824.40 = 5,314.67/x
  3. Step 3: Cross multiply
    9,295.68x = 12,824.40 × 5,314.67
  4. Step 4: Simplify right side
    9,295.68x = 68,157,389.83
  5. Step 5: Solve for x
    x = 68,157,389.83/9,295.68
  6. Step 6: Final answer
    x = 7,332.16

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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.