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Finding the Fourth Proportional to 7,090.12, 9,784.93 and 4,106

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Solution

The fourth proportional to 7,090.12, 9,784.93 and 4,106 is: 5,666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.12 : 9,784.93 = 4,106 : x
  2. Step 2: Convert to fraction form
    7,090.12/9,784.93 = 4,106/x
  3. Step 3: Cross multiply
    7,090.12x = 9,784.93 × 4,106
  4. Step 4: Simplify right side
    7,090.12x = 40,176,902.05
  5. Step 5: Solve for x
    x = 40,176,902.05/7,090.12
  6. Step 6: Final answer
    x = 5,666.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.