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Finding the Fourth Proportional to 9,635.04, 14,454.72 and 9,469.80

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Solution

The fourth proportional to 9,635.04, 14,454.72 and 9,469.80 is: 14,206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.04 : 14,454.72 = 9,469.80 : x
  2. Step 2: Convert to fraction form
    9,635.04/14,454.72 = 9,469.80/x
  3. Step 3: Cross multiply
    9,635.04x = 14,454.72 × 9,469.80
  4. Step 4: Simplify right side
    9,635.04x = 136,883,307.46
  5. Step 5: Solve for x
    x = 136,883,307.46/9,635.04
  6. Step 6: Final answer
    x = 14,206.82

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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.