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Finding the Fourth Proportional to 9,710.73, 14,533.29 and 5,796

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Solution

The fourth proportional to 9,710.73, 14,533.29 and 5,796 is: 8,674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.73 : 14,533.29 = 5,796 : x
  2. Step 2: Convert to fraction form
    9,710.73/14,533.29 = 5,796/x
  3. Step 3: Cross multiply
    9,710.73x = 14,533.29 × 5,796
  4. Step 4: Simplify right side
    9,710.73x = 84,234,948.84
  5. Step 5: Solve for x
    x = 84,234,948.84/9,710.73
  6. Step 6: Final answer
    x = 8,674.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.