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Finding the Fourth Proportional to 8,838.66, 12,197.34 and 5,301.84

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Solution

The fourth proportional to 8,838.66, 12,197.34 and 5,301.84 is: 7,316.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,838.66 : 12,197.34 = 5,301.84 : x
  2. Step 2: Convert to fraction form
    8,838.66/12,197.34 = 5,301.84/x
  3. Step 3: Cross multiply
    8,838.66x = 12,197.34 × 5,301.84
  4. Step 4: Simplify right side
    8,838.66x = 64,668,345.11
  5. Step 5: Solve for x
    x = 64,668,345.11/8,838.66
  6. Step 6: Final answer
    x = 7,316.53

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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.