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Finding the Fourth Proportional to 9,880.72, 14,801.47 and 5,193.65

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Solution

The fourth proportional to 9,880.72, 14,801.47 and 5,193.65 is: 7,780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.72 : 14,801.47 = 5,193.65 : x
  2. Step 2: Convert to fraction form
    9,880.72/14,801.47 = 5,193.65/x
  3. Step 3: Cross multiply
    9,880.72x = 14,801.47 × 5,193.65
  4. Step 4: Simplify right side
    9,880.72x = 76,873,678.69
  5. Step 5: Solve for x
    x = 76,873,678.69/9,880.72
  6. Step 6: Final answer
    x = 7,780.17

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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.