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Finding the Fourth Proportional to 6,045.60, 9,068.40 and 3,978.75

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Solution

The fourth proportional to 6,045.60, 9,068.40 and 3,978.75 is: 5,968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,045.60 : 9,068.40 = 3,978.75 : x
  2. Step 2: Convert to fraction form
    6,045.60/9,068.40 = 3,978.75/x
  3. Step 3: Cross multiply
    6,045.60x = 9,068.40 × 3,978.75
  4. Step 4: Simplify right side
    6,045.60x = 36,080,896.50
  5. Step 5: Solve for x
    x = 36,080,896.50/6,045.60
  6. Step 6: Final answer
    x = 5,968.13

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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.