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Finding the Fourth Proportional to 9,829.42, 14,668.60 and 8,778.44

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Solution

The fourth proportional to 9,829.42, 14,668.60 and 8,778.44 is: 13,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.42 : 14,668.60 = 8,778.44 : x
  2. Step 2: Convert to fraction form
    9,829.42/14,668.60 = 8,778.44/x
  3. Step 3: Cross multiply
    9,829.42x = 14,668.60 × 8,778.44
  4. Step 4: Simplify right side
    9,829.42x = 128,767,424.98
  5. Step 5: Solve for x
    x = 128,767,424.98/9,829.42
  6. Step 6: Final answer
    x = 13,100.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.