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Finding the Fourth Proportional to 9,875.39, 14,778.43 and 8,098.45

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Solution

The fourth proportional to 9,875.39, 14,778.43 and 8,098.45 is: 12,119.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.39 : 14,778.43 = 8,098.45 : x
  2. Step 2: Convert to fraction form
    9,875.39/14,778.43 = 8,098.45/x
  3. Step 3: Cross multiply
    9,875.39x = 14,778.43 × 8,098.45
  4. Step 4: Simplify right side
    9,875.39x = 119,682,319.24
  5. Step 5: Solve for x
    x = 119,682,319.24/9,875.39
  6. Step 6: Final answer
    x = 12,119.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.