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Finding the Fourth Proportional to 9,837, 14,746.60 and 3,592.61

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Solution

The fourth proportional to 9,837, 14,746.60 and 3,592.61 is: 5,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837 : 14,746.60 = 3,592.61 : x
  2. Step 2: Convert to fraction form
    9,837/14,746.60 = 3,592.61/x
  3. Step 3: Cross multiply
    9,837x = 14,746.60 × 3,592.61
  4. Step 4: Simplify right side
    9,837x = 52,978,782.63
  5. Step 5: Solve for x
    x = 52,978,782.63/9,837
  6. Step 6: Final answer
    x = 5,385.66

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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.