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Finding the Fourth Proportional to 9,241.68, 13,862.70 and 2,316

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Solution

The fourth proportional to 9,241.68, 13,862.70 and 2,316 is: 3,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.68 : 13,862.70 = 2,316 : x
  2. Step 2: Convert to fraction form
    9,241.68/13,862.70 = 2,316/x
  3. Step 3: Cross multiply
    9,241.68x = 13,862.70 × 2,316
  4. Step 4: Simplify right side
    9,241.68x = 32,106,013.20
  5. Step 5: Solve for x
    x = 32,106,013.20/9,241.68
  6. Step 6: Final answer
    x = 3,474.05

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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.