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Finding the Fourth Proportional to 9,114.48, 13,673.64 and 2,958

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Solution

The fourth proportional to 9,114.48, 13,673.64 and 2,958 is: 4,437.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.48 : 13,673.64 = 2,958 : x
  2. Step 2: Convert to fraction form
    9,114.48/13,673.64 = 2,958/x
  3. Step 3: Cross multiply
    9,114.48x = 13,673.64 × 2,958
  4. Step 4: Simplify right side
    9,114.48x = 40,446,627.12
  5. Step 5: Solve for x
    x = 40,446,627.12/9,114.48
  6. Step 6: Final answer
    x = 4,437.62

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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.