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Finding the Fourth Proportional to 10,277.52, 15,335.58 and 9,650.58

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Solution

The fourth proportional to 10,277.52, 15,335.58 and 9,650.58 is: 14,400.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277.52 : 15,335.58 = 9,650.58 : x
  2. Step 2: Convert to fraction form
    10,277.52/15,335.58 = 9,650.58/x
  3. Step 3: Cross multiply
    10,277.52x = 15,335.58 × 9,650.58
  4. Step 4: Simplify right side
    10,277.52x = 147,997,241.64
  5. Step 5: Solve for x
    x = 147,997,241.64/10,277.52
  6. Step 6: Final answer
    x = 14,400.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.