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Finding the Fourth Proportional to 9,975.98, 14,846.19 and 9,643.76

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Solution

The fourth proportional to 9,975.98, 14,846.19 and 9,643.76 is: 14,351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.98 : 14,846.19 = 9,643.76 : x
  2. Step 2: Convert to fraction form
    9,975.98/14,846.19 = 9,643.76/x
  3. Step 3: Cross multiply
    9,975.98x = 14,846.19 × 9,643.76
  4. Step 4: Simplify right side
    9,975.98x = 143,173,045.06
  5. Step 5: Solve for x
    x = 143,173,045.06/9,975.98
  6. Step 6: Final answer
    x = 14,351.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.