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Finding the Fourth Proportional to 9,575.76, 13,214.94 and 5,384

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Solution

The fourth proportional to 9,575.76, 13,214.94 and 5,384 is: 7,430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.76 : 13,214.94 = 5,384 : x
  2. Step 2: Convert to fraction form
    9,575.76/13,214.94 = 5,384/x
  3. Step 3: Cross multiply
    9,575.76x = 13,214.94 × 5,384
  4. Step 4: Simplify right side
    9,575.76x = 71,149,236.96
  5. Step 5: Solve for x
    x = 71,149,236.96/9,575.76
  6. Step 6: Final answer
    x = 7,430.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.