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Finding the Fourth Proportional to 9,316.69, 12,857.13 and 5,124.94

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Solution

The fourth proportional to 9,316.69, 12,857.13 and 5,124.94 is: 7,072.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.69 : 12,857.13 = 5,124.94 : x
  2. Step 2: Convert to fraction form
    9,316.69/12,857.13 = 5,124.94/x
  3. Step 3: Cross multiply
    9,316.69x = 12,857.13 × 5,124.94
  4. Step 4: Simplify right side
    9,316.69x = 65,891,987.68
  5. Step 5: Solve for x
    x = 65,891,987.68/9,316.69
  6. Step 6: Final answer
    x = 7,072.47

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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.