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Finding the Fourth Proportional to 9,604.86, 14,402.69 and 4,927.11

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Solution

The fourth proportional to 9,604.86, 14,402.69 and 4,927.11 is: 7,388.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.86 : 14,402.69 = 4,927.11 : x
  2. Step 2: Convert to fraction form
    9,604.86/14,402.69 = 4,927.11/x
  3. Step 3: Cross multiply
    9,604.86x = 14,402.69 × 4,927.11
  4. Step 4: Simplify right side
    9,604.86x = 70,963,637.93
  5. Step 5: Solve for x
    x = 70,963,637.93/9,604.86
  6. Step 6: Final answer
    x = 7,388.31

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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.