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Finding the Fourth Proportional to 9,763.17, 14,668.80 and 6,254.69

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Solution

The fourth proportional to 9,763.17, 14,668.80 and 6,254.69 is: 9,397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.17 : 14,668.80 = 6,254.69 : x
  2. Step 2: Convert to fraction form
    9,763.17/14,668.80 = 6,254.69/x
  3. Step 3: Cross multiply
    9,763.17x = 14,668.80 × 6,254.69
  4. Step 4: Simplify right side
    9,763.17x = 91,748,699.87
  5. Step 5: Solve for x
    x = 91,748,699.87/9,763.17
  6. Step 6: Final answer
    x = 9,397.43

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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.