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Finding the Fourth Proportional to 6,078.75, 9,134.60 and 3,307.47

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Solution

The fourth proportional to 6,078.75, 9,134.60 and 3,307.47 is: 4,970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.75 : 9,134.60 = 3,307.47 : x
  2. Step 2: Convert to fraction form
    6,078.75/9,134.60 = 3,307.47/x
  3. Step 3: Cross multiply
    6,078.75x = 9,134.60 × 3,307.47
  4. Step 4: Simplify right side
    6,078.75x = 30,212,415.46
  5. Step 5: Solve for x
    x = 30,212,415.46/6,078.75
  6. Step 6: Final answer
    x = 4,970.17

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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.