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Finding the Fourth Proportional to 9,316.16, 12,856.95 and 5,338.25

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Solution

The fourth proportional to 9,316.16, 12,856.95 and 5,338.25 is: 7,367.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.16 : 12,856.95 = 5,338.25 : x
  2. Step 2: Convert to fraction form
    9,316.16/12,856.95 = 5,338.25/x
  3. Step 3: Cross multiply
    9,316.16x = 12,856.95 × 5,338.25
  4. Step 4: Simplify right side
    9,316.16x = 68,633,549.05
  5. Step 5: Solve for x
    x = 68,633,549.05/9,316.16
  6. Step 6: Final answer
    x = 7,367.15

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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.