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Finding the Fourth Proportional to 9,829.57, 13,558.80 and 9,173.47

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Solution

The fourth proportional to 9,829.57, 13,558.80 and 9,173.47 is: 12,653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.57 : 13,558.80 = 9,173.47 : x
  2. Step 2: Convert to fraction form
    9,829.57/13,558.80 = 9,173.47/x
  3. Step 3: Cross multiply
    9,829.57x = 13,558.80 × 9,173.47
  4. Step 4: Simplify right side
    9,829.57x = 124,381,245.04
  5. Step 5: Solve for x
    x = 124,381,245.04/9,829.57
  6. Step 6: Final answer
    x = 12,653.78

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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.