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Finding the Fourth Proportional to 9,582.78, 14,374.24 and 3,342.77

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Solution

The fourth proportional to 9,582.78, 14,374.24 and 3,342.77 is: 5,014.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.78 : 14,374.24 = 3,342.77 : x
  2. Step 2: Convert to fraction form
    9,582.78/14,374.24 = 3,342.77/x
  3. Step 3: Cross multiply
    9,582.78x = 14,374.24 × 3,342.77
  4. Step 4: Simplify right side
    9,582.78x = 48,049,751.92
  5. Step 5: Solve for x
    x = 48,049,751.92/9,582.78
  6. Step 6: Final answer
    x = 5,014.17

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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.