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Finding the Fourth Proportional to 9,316.71, 13,974.93 and 2,296.80

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Solution

The fourth proportional to 9,316.71, 13,974.93 and 2,296.80 is: 3,445.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.71 : 13,974.93 = 2,296.80 : x
  2. Step 2: Convert to fraction form
    9,316.71/13,974.93 = 2,296.80/x
  3. Step 3: Cross multiply
    9,316.71x = 13,974.93 × 2,296.80
  4. Step 4: Simplify right side
    9,316.71x = 32,097,619.22
  5. Step 5: Solve for x
    x = 32,097,619.22/9,316.71
  6. Step 6: Final answer
    x = 3,445.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.