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Finding the Fourth Proportional to 9,316.70, 13,975.02 and 2,742.87

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Solution

The fourth proportional to 9,316.70, 13,975.02 and 2,742.87 is: 4,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.70 : 13,975.02 = 2,742.87 : x
  2. Step 2: Convert to fraction form
    9,316.70/13,975.02 = 2,742.87/x
  3. Step 3: Cross multiply
    9,316.70x = 13,975.02 × 2,742.87
  4. Step 4: Simplify right side
    9,316.70x = 38,331,663.11
  5. Step 5: Solve for x
    x = 38,331,663.11/9,316.70
  6. Step 6: Final answer
    x = 4,114.30

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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.