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Finding the Fourth Proportional to 9,271.89, 13,907.90 and 2,346.39

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Solution

The fourth proportional to 9,271.89, 13,907.90 and 2,346.39 is: 3,519.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.89 : 13,907.90 = 2,346.39 : x
  2. Step 2: Convert to fraction form
    9,271.89/13,907.90 = 2,346.39/x
  3. Step 3: Cross multiply
    9,271.89x = 13,907.90 × 2,346.39
  4. Step 4: Simplify right side
    9,271.89x = 32,633,345.75
  5. Step 5: Solve for x
    x = 32,633,345.75/9,271.89
  6. Step 6: Final answer
    x = 3,519.60

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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.