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Finding the Fourth Proportional to 9,208.51, 13,803.51 and 2,963.93

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Solution

The fourth proportional to 9,208.51, 13,803.51 and 2,963.93 is: 4,442.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.51 : 13,803.51 = 2,963.93 : x
  2. Step 2: Convert to fraction form
    9,208.51/13,803.51 = 2,963.93/x
  3. Step 3: Cross multiply
    9,208.51x = 13,803.51 × 2,963.93
  4. Step 4: Simplify right side
    9,208.51x = 40,912,637.39
  5. Step 5: Solve for x
    x = 40,912,637.39/9,208.51
  6. Step 6: Final answer
    x = 4,442.92

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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.