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Finding the Fourth Proportional to 9,699.12, 14,538.72 and 5,530.60

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Solution

The fourth proportional to 9,699.12, 14,538.72 and 5,530.60 is: 8,290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.12 : 14,538.72 = 5,530.60 : x
  2. Step 2: Convert to fraction form
    9,699.12/14,538.72 = 5,530.60/x
  3. Step 3: Cross multiply
    9,699.12x = 14,538.72 × 5,530.60
  4. Step 4: Simplify right side
    9,699.12x = 80,407,844.83
  5. Step 5: Solve for x
    x = 80,407,844.83/9,699.12
  6. Step 6: Final answer
    x = 8,290.22

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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.