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Finding the Fourth Proportional to 9,757.66, 14,607.78 and 6,047.98

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Solution

The fourth proportional to 9,757.66, 14,607.78 and 6,047.98 is: 9,054.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.66 : 14,607.78 = 6,047.98 : x
  2. Step 2: Convert to fraction form
    9,757.66/14,607.78 = 6,047.98/x
  3. Step 3: Cross multiply
    9,757.66x = 14,607.78 × 6,047.98
  4. Step 4: Simplify right side
    9,757.66x = 88,347,561.28
  5. Step 5: Solve for x
    x = 88,347,561.28/9,757.66
  6. Step 6: Final answer
    x = 9,054.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.