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Finding the Fourth Proportional to 9,109.55, 13,661.70 and 3,845.74

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Solution

The fourth proportional to 9,109.55, 13,661.70 and 3,845.74 is: 5,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.55 : 13,661.70 = 3,845.74 : x
  2. Step 2: Convert to fraction form
    9,109.55/13,661.70 = 3,845.74/x
  3. Step 3: Cross multiply
    9,109.55x = 13,661.70 × 3,845.74
  4. Step 4: Simplify right side
    9,109.55x = 52,539,312.00
  5. Step 5: Solve for x
    x = 52,539,312.00/9,109.55
  6. Step 6: Final answer
    x = 5,767.50

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Why These Related Problems?

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