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Finding the Fourth Proportional to 9,100.85, 13,655.52 and 4,715.91

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Solution

The fourth proportional to 9,100.85, 13,655.52 and 4,715.91 is: 7,076.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.85 : 13,655.52 = 4,715.91 : x
  2. Step 2: Convert to fraction form
    9,100.85/13,655.52 = 4,715.91/x
  3. Step 3: Cross multiply
    9,100.85x = 13,655.52 × 4,715.91
  4. Step 4: Simplify right side
    9,100.85x = 64,398,203.32
  5. Step 5: Solve for x
    x = 64,398,203.32/9,100.85
  6. Step 6: Final answer
    x = 7,076.07

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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.