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Finding the Fourth Proportional to 9,824.86, 13,558.12 and 5,348.71

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Solution

The fourth proportional to 9,824.86, 13,558.12 and 5,348.71 is: 7,381.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.86 : 13,558.12 = 5,348.71 : x
  2. Step 2: Convert to fraction form
    9,824.86/13,558.12 = 5,348.71/x
  3. Step 3: Cross multiply
    9,824.86x = 13,558.12 × 5,348.71
  4. Step 4: Simplify right side
    9,824.86x = 72,518,452.03
  5. Step 5: Solve for x
    x = 72,518,452.03/9,824.86
  6. Step 6: Final answer
    x = 7,381.12

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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.