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Finding the Fourth Proportional to 9,718.77, 14,591.49 and 5,042.01

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Solution

The fourth proportional to 9,718.77, 14,591.49 and 5,042.01 is: 7,569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.77 : 14,591.49 = 5,042.01 : x
  2. Step 2: Convert to fraction form
    9,718.77/14,591.49 = 5,042.01/x
  3. Step 3: Cross multiply
    9,718.77x = 14,591.49 × 5,042.01
  4. Step 4: Simplify right side
    9,718.77x = 73,570,438.49
  5. Step 5: Solve for x
    x = 73,570,438.49/9,718.77
  6. Step 6: Final answer
    x = 7,569.93

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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.