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Finding the Fourth Proportional to 9,750.12, 14,626.71 and 4,205.03

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Solution

The fourth proportional to 9,750.12, 14,626.71 and 4,205.03 is: 6,308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.12 : 14,626.71 = 4,205.03 : x
  2. Step 2: Convert to fraction form
    9,750.12/14,626.71 = 4,205.03/x
  3. Step 3: Cross multiply
    9,750.12x = 14,626.71 × 4,205.03
  4. Step 4: Simplify right side
    9,750.12x = 61,505,681.22
  5. Step 5: Solve for x
    x = 61,505,681.22/9,750.12
  6. Step 6: Final answer
    x = 6,308.20

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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.