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Finding the Fourth Proportional to 9,782.40, 14,673.24 and 4,160.28

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Solution

The fourth proportional to 9,782.40, 14,673.24 and 4,160.28 is: 6,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.40 : 14,673.24 = 4,160.28 : x
  2. Step 2: Convert to fraction form
    9,782.40/14,673.24 = 4,160.28/x
  3. Step 3: Cross multiply
    9,782.40x = 14,673.24 × 4,160.28
  4. Step 4: Simplify right side
    9,782.40x = 61,044,786.91
  5. Step 5: Solve for x
    x = 61,044,786.91/9,782.40
  6. Step 6: Final answer
    x = 6,240.27

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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.