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Finding the Fourth Proportional to 9,544.32, 14,306 and 4,610.48

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Solution

The fourth proportional to 9,544.32, 14,306 and 4,610.48 is: 6,910.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.32 : 14,306 = 4,610.48 : x
  2. Step 2: Convert to fraction form
    9,544.32/14,306 = 4,610.48/x
  3. Step 3: Cross multiply
    9,544.32x = 14,306 × 4,610.48
  4. Step 4: Simplify right side
    9,544.32x = 65,957,526.88
  5. Step 5: Solve for x
    x = 65,957,526.88/9,544.32
  6. Step 6: Final answer
    x = 6,910.66

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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.