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Finding the Fourth Proportional to 9,959.61, 14,935.93 and 2,937.76

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Solution

The fourth proportional to 9,959.61, 14,935.93 and 2,937.76 is: 4,405.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.61 : 14,935.93 = 2,937.76 : x
  2. Step 2: Convert to fraction form
    9,959.61/14,935.93 = 2,937.76/x
  3. Step 3: Cross multiply
    9,959.61x = 14,935.93 × 2,937.76
  4. Step 4: Simplify right side
    9,959.61x = 43,878,115.13
  5. Step 5: Solve for x
    x = 43,878,115.13/9,959.61
  6. Step 6: Final answer
    x = 4,405.61

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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.