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Finding the Fourth Proportional to 9,421.82, 14,128.63 and 4,738.91

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Solution

The fourth proportional to 9,421.82, 14,128.63 and 4,738.91 is: 7,106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.82 : 14,128.63 = 4,738.91 : x
  2. Step 2: Convert to fraction form
    9,421.82/14,128.63 = 4,738.91/x
  3. Step 3: Cross multiply
    9,421.82x = 14,128.63 × 4,738.91
  4. Step 4: Simplify right side
    9,421.82x = 66,954,223.50
  5. Step 5: Solve for x
    x = 66,954,223.50/9,421.82
  6. Step 6: Final answer
    x = 7,106.30

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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.