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Finding the Fourth Proportional to 9,090.42, 13,609.09 and 5,330.80

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Solution

The fourth proportional to 9,090.42, 13,609.09 and 5,330.80 is: 7,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090.42 : 13,609.09 = 5,330.80 : x
  2. Step 2: Convert to fraction form
    9,090.42/13,609.09 = 5,330.80/x
  3. Step 3: Cross multiply
    9,090.42x = 13,609.09 × 5,330.80
  4. Step 4: Simplify right side
    9,090.42x = 72,547,336.97
  5. Step 5: Solve for x
    x = 72,547,336.97/9,090.42
  6. Step 6: Final answer
    x = 7,980.64

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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.