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Finding the Fourth Proportional to 9,715.88, 14,553.95 and 4,770.02

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Solution

The fourth proportional to 9,715.88, 14,553.95 and 4,770.02 is: 7,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.88 : 14,553.95 = 4,770.02 : x
  2. Step 2: Convert to fraction form
    9,715.88/14,553.95 = 4,770.02/x
  3. Step 3: Cross multiply
    9,715.88x = 14,553.95 × 4,770.02
  4. Step 4: Simplify right side
    9,715.88x = 69,422,535.96
  5. Step 5: Solve for x
    x = 69,422,535.96/9,715.88
  6. Step 6: Final answer
    x = 7,145.27

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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.