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Finding the Fourth Proportional to 9,825.90, 14,744.25 and 4,631.64

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Solution

The fourth proportional to 9,825.90, 14,744.25 and 4,631.64 is: 6,950.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.90 : 14,744.25 = 4,631.64 : x
  2. Step 2: Convert to fraction form
    9,825.90/14,744.25 = 4,631.64/x
  3. Step 3: Cross multiply
    9,825.90x = 14,744.25 × 4,631.64
  4. Step 4: Simplify right side
    9,825.90x = 68,290,058.07
  5. Step 5: Solve for x
    x = 68,290,058.07/9,825.90
  6. Step 6: Final answer
    x = 6,950.01

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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.