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Finding the Fourth Proportional to 9,371, 14,056.64 and 2,445.50

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Solution

The fourth proportional to 9,371, 14,056.64 and 2,445.50 is: 3,668.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,371 : 14,056.64 = 2,445.50 : x
  2. Step 2: Convert to fraction form
    9,371/14,056.64 = 2,445.50/x
  3. Step 3: Cross multiply
    9,371x = 14,056.64 × 2,445.50
  4. Step 4: Simplify right side
    9,371x = 34,375,513.12
  5. Step 5: Solve for x
    x = 34,375,513.12/9,371
  6. Step 6: Final answer
    x = 3,668.29

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Why These Related Problems?

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