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Finding the Fourth Proportional to 13,847.76, 19,095.36 and 9,126

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Solution

The fourth proportional to 13,847.76, 19,095.36 and 9,126 is: 12,584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.76 : 19,095.36 = 9,126 : x
  2. Step 2: Convert to fraction form
    13,847.76/19,095.36 = 9,126/x
  3. Step 3: Cross multiply
    13,847.76x = 19,095.36 × 9,126
  4. Step 4: Simplify right side
    13,847.76x = 174,264,255.36
  5. Step 5: Solve for x
    x = 174,264,255.36/13,847.76
  6. Step 6: Final answer
    x = 12,584.29

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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.