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Finding the Fourth Proportional to 8,838.42, 12,197.14 and 4,859.50

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Solution

The fourth proportional to 8,838.42, 12,197.14 and 4,859.50 is: 6,706.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,838.42 : 12,197.14 = 4,859.50 : x
  2. Step 2: Convert to fraction form
    8,838.42/12,197.14 = 4,859.50/x
  3. Step 3: Cross multiply
    8,838.42x = 12,197.14 × 4,859.50
  4. Step 4: Simplify right side
    8,838.42x = 59,272,001.83
  5. Step 5: Solve for x
    x = 59,272,001.83/8,838.42
  6. Step 6: Final answer
    x = 6,706.18

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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.