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Finding the Fourth Proportional to 9,929.60, 13,709.26 and 6,156.77

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Solution

The fourth proportional to 9,929.60, 13,709.26 and 6,156.77 is: 8,500.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.60 : 13,709.26 = 6,156.77 : x
  2. Step 2: Convert to fraction form
    9,929.60/13,709.26 = 6,156.77/x
  3. Step 3: Cross multiply
    9,929.60x = 13,709.26 × 6,156.77
  4. Step 4: Simplify right side
    9,929.60x = 84,404,760.69
  5. Step 5: Solve for x
    x = 84,404,760.69/9,929.60
  6. Step 6: Final answer
    x = 8,500.32

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