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Finding the Fourth Proportional to 9,700.88, 14,553.16 and 4,436.24

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Solution

The fourth proportional to 9,700.88, 14,553.16 and 4,436.24 is: 6,655.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.88 : 14,553.16 = 4,436.24 : x
  2. Step 2: Convert to fraction form
    9,700.88/14,553.16 = 4,436.24/x
  3. Step 3: Cross multiply
    9,700.88x = 14,553.16 × 4,436.24
  4. Step 4: Simplify right side
    9,700.88x = 64,561,310.52
  5. Step 5: Solve for x
    x = 64,561,310.52/9,700.88
  6. Step 6: Final answer
    x = 6,655.20

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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.