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Finding the Fourth Proportional to 9,308.40, 13,963.27 and 3,465

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Solution

The fourth proportional to 9,308.40, 13,963.27 and 3,465 is: 5,197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.40 : 13,963.27 = 3,465 : x
  2. Step 2: Convert to fraction form
    9,308.40/13,963.27 = 3,465/x
  3. Step 3: Cross multiply
    9,308.40x = 13,963.27 × 3,465
  4. Step 4: Simplify right side
    9,308.40x = 48,382,730.55
  5. Step 5: Solve for x
    x = 48,382,730.55/9,308.40
  6. Step 6: Final answer
    x = 5,197.75

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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.