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Finding the Fourth Proportional to 9,649.80, 14,472.95 and 2,894.00

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Solution

The fourth proportional to 9,649.80, 14,472.95 and 2,894.00 is: 4,340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.80 : 14,472.95 = 2,894.00 : x
  2. Step 2: Convert to fraction form
    9,649.80/14,472.95 = 2,894.00/x
  3. Step 3: Cross multiply
    9,649.80x = 14,472.95 × 2,894.00
  4. Step 4: Simplify right side
    9,649.80x = 41,884,630.47
  5. Step 5: Solve for x
    x = 41,884,630.47/9,649.80
  6. Step 6: Final answer
    x = 4,340.47

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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.