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Finding the Fourth Proportional to 9,369.66, 12,926.07 and 5,641.50

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Solution

The fourth proportional to 9,369.66, 12,926.07 and 5,641.50 is: 7,782.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,369.66 : 12,926.07 = 5,641.50 : x
  2. Step 2: Convert to fraction form
    9,369.66/12,926.07 = 5,641.50/x
  3. Step 3: Cross multiply
    9,369.66x = 12,926.07 × 5,641.50
  4. Step 4: Simplify right side
    9,369.66x = 72,922,423.91
  5. Step 5: Solve for x
    x = 72,922,423.91/9,369.66
  6. Step 6: Final answer
    x = 7,782.82

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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.