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Finding the Fourth Proportional to 7,077.60, 9,768.24 and 4,284.48

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Solution

The fourth proportional to 7,077.60, 9,768.24 and 4,284.48 is: 5,913.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.60 : 9,768.24 = 4,284.48 : x
  2. Step 2: Convert to fraction form
    7,077.60/9,768.24 = 4,284.48/x
  3. Step 3: Cross multiply
    7,077.60x = 9,768.24 × 4,284.48
  4. Step 4: Simplify right side
    7,077.60x = 41,851,828.92
  5. Step 5: Solve for x
    x = 41,851,828.92/7,077.60
  6. Step 6: Final answer
    x = 5,913.28

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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.