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Finding the Fourth Proportional to 9,316.48, 12,857.02 and 5,338.16

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Solution

The fourth proportional to 9,316.48, 12,857.02 and 5,338.16 is: 7,366.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.48 : 12,857.02 = 5,338.16 : x
  2. Step 2: Convert to fraction form
    9,316.48/12,857.02 = 5,338.16/x
  3. Step 3: Cross multiply
    9,316.48x = 12,857.02 × 5,338.16
  4. Step 4: Simplify right side
    9,316.48x = 68,632,829.88
  5. Step 5: Solve for x
    x = 68,632,829.88/9,316.48
  6. Step 6: Final answer
    x = 7,366.82

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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.