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Finding the Fourth Proportional to 6,745.60, 9,301.68 and 4,953.84

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Solution

The fourth proportional to 6,745.60, 9,301.68 and 4,953.84 is: 6,830.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.60 : 9,301.68 = 4,953.84 : x
  2. Step 2: Convert to fraction form
    6,745.60/9,301.68 = 4,953.84/x
  3. Step 3: Cross multiply
    6,745.60x = 9,301.68 × 4,953.84
  4. Step 4: Simplify right side
    6,745.60x = 46,079,034.45
  5. Step 5: Solve for x
    x = 46,079,034.45/6,745.60
  6. Step 6: Final answer
    x = 6,830.98

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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.