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Finding the Fourth Proportional to 9,965.84, 14,948.74 and 2,945.94

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Solution

The fourth proportional to 9,965.84, 14,948.74 and 2,945.94 is: 4,418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.84 : 14,948.74 = 2,945.94 : x
  2. Step 2: Convert to fraction form
    9,965.84/14,948.74 = 2,945.94/x
  3. Step 3: Cross multiply
    9,965.84x = 14,948.74 × 2,945.94
  4. Step 4: Simplify right side
    9,965.84x = 44,038,094.80
  5. Step 5: Solve for x
    x = 44,038,094.80/9,965.84
  6. Step 6: Final answer
    x = 4,418.91

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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.