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Finding the Fourth Proportional to 9,823.98, 13,561.53 and 6,468.57

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Solution

The fourth proportional to 9,823.98, 13,561.53 and 6,468.57 is: 8,929.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.98 : 13,561.53 = 6,468.57 : x
  2. Step 2: Convert to fraction form
    9,823.98/13,561.53 = 6,468.57/x
  3. Step 3: Cross multiply
    9,823.98x = 13,561.53 × 6,468.57
  4. Step 4: Simplify right side
    9,823.98x = 87,723,706.11
  5. Step 5: Solve for x
    x = 87,723,706.11/9,823.98
  6. Step 6: Final answer
    x = 8,929.55

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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.