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Finding the Fourth Proportional to 9,700.26, 14,551.74 and 4,770.09

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Solution

The fourth proportional to 9,700.26, 14,551.74 and 4,770.09 is: 7,155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.26 : 14,551.74 = 4,770.09 : x
  2. Step 2: Convert to fraction form
    9,700.26/14,551.74 = 4,770.09/x
  3. Step 3: Cross multiply
    9,700.26x = 14,551.74 × 4,770.09
  4. Step 4: Simplify right side
    9,700.26x = 69,413,109.46
  5. Step 5: Solve for x
    x = 69,413,109.46/9,700.26
  6. Step 6: Final answer
    x = 7,155.80

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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.