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Finding the Fourth Proportional to 9,782.50, 14,667.37 and 6,440.63

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Solution

The fourth proportional to 9,782.50, 14,667.37 and 6,440.63 is: 9,656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.50 : 14,667.37 = 6,440.63 : x
  2. Step 2: Convert to fraction form
    9,782.50/14,667.37 = 6,440.63/x
  3. Step 3: Cross multiply
    9,782.50x = 14,667.37 × 6,440.63
  4. Step 4: Simplify right side
    9,782.50x = 94,467,071.78
  5. Step 5: Solve for x
    x = 94,467,071.78/9,782.50
  6. Step 6: Final answer
    x = 9,656.74

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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.