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Finding the Fourth Proportional to 9,106.94, 13,627.90 and 6,611.02

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Solution

The fourth proportional to 9,106.94, 13,627.90 and 6,611.02 is: 9,892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.94 : 13,627.90 = 6,611.02 : x
  2. Step 2: Convert to fraction form
    9,106.94/13,627.90 = 6,611.02/x
  3. Step 3: Cross multiply
    9,106.94x = 13,627.90 × 6,611.02
  4. Step 4: Simplify right side
    9,106.94x = 90,094,319.46
  5. Step 5: Solve for x
    x = 90,094,319.46/9,106.94
  6. Step 6: Final answer
    x = 9,892.93

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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.