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Finding the Fourth Proportional to 6,090.93, 9,130.10 and 3,316.85

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Solution

The fourth proportional to 6,090.93, 9,130.10 and 3,316.85 is: 4,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.93 : 9,130.10 = 3,316.85 : x
  2. Step 2: Convert to fraction form
    6,090.93/9,130.10 = 3,316.85/x
  3. Step 3: Cross multiply
    6,090.93x = 9,130.10 × 3,316.85
  4. Step 4: Simplify right side
    6,090.93x = 30,283,109.95
  5. Step 5: Solve for x
    x = 30,283,109.95/6,090.93
  6. Step 6: Final answer
    x = 4,971.84

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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.