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Finding the Fourth Proportional to 9,763.23, 14,646.27 and 3,097.50

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Solution

The fourth proportional to 9,763.23, 14,646.27 and 3,097.50 is: 4,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.23 : 14,646.27 = 3,097.50 : x
  2. Step 2: Convert to fraction form
    9,763.23/14,646.27 = 3,097.50/x
  3. Step 3: Cross multiply
    9,763.23x = 14,646.27 × 3,097.50
  4. Step 4: Simplify right side
    9,763.23x = 45,366,821.33
  5. Step 5: Solve for x
    x = 45,366,821.33/9,763.23
  6. Step 6: Final answer
    x = 4,646.70

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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.