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Finding the Fourth Proportional to 9,965.88, 14,950.98 and 2,946.42

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Solution

The fourth proportional to 9,965.88, 14,950.98 and 2,946.42 is: 4,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.88 : 14,950.98 = 2,946.42 : x
  2. Step 2: Convert to fraction form
    9,965.88/14,950.98 = 2,946.42/x
  3. Step 3: Cross multiply
    9,965.88x = 14,950.98 × 2,946.42
  4. Step 4: Simplify right side
    9,965.88x = 44,051,866.49
  5. Step 5: Solve for x
    x = 44,051,866.49/9,965.88
  6. Step 6: Final answer
    x = 4,420.27

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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.