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Finding the Fourth Proportional to 9,285.76, 13,927.97 and 4,356.52

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Solution

The fourth proportional to 9,285.76, 13,927.97 and 4,356.52 is: 6,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.76 : 13,927.97 = 4,356.52 : x
  2. Step 2: Convert to fraction form
    9,285.76/13,927.97 = 4,356.52/x
  3. Step 3: Cross multiply
    9,285.76x = 13,927.97 × 4,356.52
  4. Step 4: Simplify right side
    9,285.76x = 60,677,479.86
  5. Step 5: Solve for x
    x = 60,677,479.86/9,285.76
  6. Step 6: Final answer
    x = 6,534.47

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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.