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Finding the Fourth Proportional to 9,964.88, 14,948.79 and 5,283.69

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Solution

The fourth proportional to 9,964.88, 14,948.79 and 5,283.69 is: 7,926.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.88 : 14,948.79 = 5,283.69 : x
  2. Step 2: Convert to fraction form
    9,964.88/14,948.79 = 5,283.69/x
  3. Step 3: Cross multiply
    9,964.88x = 14,948.79 × 5,283.69
  4. Step 4: Simplify right side
    9,964.88x = 78,984,671.07
  5. Step 5: Solve for x
    x = 78,984,671.07/9,964.88
  6. Step 6: Final answer
    x = 7,926.31

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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.