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Finding the Fourth Proportional to 9,644.13, 14,443.52 and 4,698.27

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Solution

The fourth proportional to 9,644.13, 14,443.52 and 4,698.27 is: 7,036.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.13 : 14,443.52 = 4,698.27 : x
  2. Step 2: Convert to fraction form
    9,644.13/14,443.52 = 4,698.27/x
  3. Step 3: Cross multiply
    9,644.13x = 14,443.52 × 4,698.27
  4. Step 4: Simplify right side
    9,644.13x = 67,859,533.22
  5. Step 5: Solve for x
    x = 67,859,533.22/9,644.13
  6. Step 6: Final answer
    x = 7,036.36

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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.