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Finding the Fourth Proportional to 9,188.04, 13,806.60 and 8,045.20

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Solution

The fourth proportional to 9,188.04, 13,806.60 and 8,045.20 is: 12,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.04 : 13,806.60 = 8,045.20 : x
  2. Step 2: Convert to fraction form
    9,188.04/13,806.60 = 8,045.20/x
  3. Step 3: Cross multiply
    9,188.04x = 13,806.60 × 8,045.20
  4. Step 4: Simplify right side
    9,188.04x = 111,076,858.32
  5. Step 5: Solve for x
    x = 111,076,858.32/9,188.04
  6. Step 6: Final answer
    x = 12,089.29

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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.