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Finding the Fourth Proportional to 9,407.61, 14,108.54 and 6,504.57

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Solution

The fourth proportional to 9,407.61, 14,108.54 and 6,504.57 is: 9,754.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.61 : 14,108.54 = 6,504.57 : x
  2. Step 2: Convert to fraction form
    9,407.61/14,108.54 = 6,504.57/x
  3. Step 3: Cross multiply
    9,407.61x = 14,108.54 × 6,504.57
  4. Step 4: Simplify right side
    9,407.61x = 91,769,953.50
  5. Step 5: Solve for x
    x = 91,769,953.50/9,407.61
  6. Step 6: Final answer
    x = 9,754.86

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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.