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Finding the Fourth Proportional to 7,004.76, 9,670.44 and 5,114.44

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Solution

The fourth proportional to 7,004.76, 9,670.44 and 5,114.44 is: 7,060.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.76 : 9,670.44 = 5,114.44 : x
  2. Step 2: Convert to fraction form
    7,004.76/9,670.44 = 5,114.44/x
  3. Step 3: Cross multiply
    7,004.76x = 9,670.44 × 5,114.44
  4. Step 4: Simplify right side
    7,004.76x = 49,458,885.15
  5. Step 5: Solve for x
    x = 49,458,885.15/7,004.76
  6. Step 6: Final answer
    x = 7,060.75

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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.