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Finding the Fourth Proportional to 9,773.79, 14,668.56 and 5,095.23

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Solution

The fourth proportional to 9,773.79, 14,668.56 and 5,095.23 is: 7,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.79 : 14,668.56 = 5,095.23 : x
  2. Step 2: Convert to fraction form
    9,773.79/14,668.56 = 5,095.23/x
  3. Step 3: Cross multiply
    9,773.79x = 14,668.56 × 5,095.23
  4. Step 4: Simplify right side
    9,773.79x = 74,739,686.97
  5. Step 5: Solve for x
    x = 74,739,686.97/9,773.79
  6. Step 6: Final answer
    x = 7,646.95

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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.