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Finding the Fourth Proportional to 9,191.85, 12,684.69 and 5,000.10

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Solution

The fourth proportional to 9,191.85, 12,684.69 and 5,000.10 is: 6,900.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.85 : 12,684.69 = 5,000.10 : x
  2. Step 2: Convert to fraction form
    9,191.85/12,684.69 = 5,000.10/x
  3. Step 3: Cross multiply
    9,191.85x = 12,684.69 × 5,000.10
  4. Step 4: Simplify right side
    9,191.85x = 63,424,718.47
  5. Step 5: Solve for x
    x = 63,424,718.47/9,191.85
  6. Step 6: Final answer
    x = 6,900.10

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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.