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Finding the Fourth Proportional to 9,964, 14,908.38 and 5,946.49

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Solution

The fourth proportional to 9,964, 14,908.38 and 5,946.49 is: 8,897.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964 : 14,908.38 = 5,946.49 : x
  2. Step 2: Convert to fraction form
    9,964/14,908.38 = 5,946.49/x
  3. Step 3: Cross multiply
    9,964x = 14,908.38 × 5,946.49
  4. Step 4: Simplify right side
    9,964x = 88,652,532.59
  5. Step 5: Solve for x
    x = 88,652,532.59/9,964
  6. Step 6: Final answer
    x = 8,897.28

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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.