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Finding the Fourth Proportional to 9,630, 14,434.08 and 4,425.12

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Solution

The fourth proportional to 9,630, 14,434.08 and 4,425.12 is: 6,632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630 : 14,434.08 = 4,425.12 : x
  2. Step 2: Convert to fraction form
    9,630/14,434.08 = 4,425.12/x
  3. Step 3: Cross multiply
    9,630x = 14,434.08 × 4,425.12
  4. Step 4: Simplify right side
    9,630x = 63,872,536.09
  5. Step 5: Solve for x
    x = 63,872,536.09/9,630
  6. Step 6: Final answer
    x = 6,632.66

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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.