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Finding the Fourth Proportional to 9,512.40, 14,199.86 and 8,346

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Solution

The fourth proportional to 9,512.40, 14,199.86 and 8,346 is: 12,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.40 : 14,199.86 = 8,346 : x
  2. Step 2: Convert to fraction form
    9,512.40/14,199.86 = 8,346/x
  3. Step 3: Cross multiply
    9,512.40x = 14,199.86 × 8,346
  4. Step 4: Simplify right side
    9,512.40x = 118,511,989.83
  5. Step 5: Solve for x
    x = 118,511,989.83/9,512.40
  6. Step 6: Final answer
    x = 12,458.68

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Why These Related Problems?

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