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Finding the Fourth Proportional to 9,316.98, 12,853.71 and 5,730.80

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Solution

The fourth proportional to 9,316.98, 12,853.71 and 5,730.80 is: 7,906.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.98 : 12,853.71 = 5,730.80 : x
  2. Step 2: Convert to fraction form
    9,316.98/12,853.71 = 5,730.80/x
  3. Step 3: Cross multiply
    9,316.98x = 12,853.71 × 5,730.80
  4. Step 4: Simplify right side
    9,316.98x = 73,661,977.00
  5. Step 5: Solve for x
    x = 73,661,977.00/9,316.98
  6. Step 6: Final answer
    x = 7,906.21

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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.