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Finding the Fourth Proportional to 10,300.72, 15,364.49 and 9,354.73

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Solution

The fourth proportional to 10,300.72, 15,364.49 and 9,354.73 is: 13,953.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.72 : 15,364.49 = 9,354.73 : x
  2. Step 2: Convert to fraction form
    10,300.72/15,364.49 = 9,354.73/x
  3. Step 3: Cross multiply
    10,300.72x = 15,364.49 × 9,354.73
  4. Step 4: Simplify right side
    10,300.72x = 143,730,664.23
  5. Step 5: Solve for x
    x = 143,730,664.23/10,300.72
  6. Step 6: Final answer
    x = 13,953.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.