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Finding the Fourth Proportional to 9,763.56, 14,645.22 and 2,368.08

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Solution

The fourth proportional to 9,763.56, 14,645.22 and 2,368.08 is: 3,552.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.56 : 14,645.22 = 2,368.08 : x
  2. Step 2: Convert to fraction form
    9,763.56/14,645.22 = 2,368.08/x
  3. Step 3: Cross multiply
    9,763.56x = 14,645.22 × 2,368.08
  4. Step 4: Simplify right side
    9,763.56x = 34,681,098.62
  5. Step 5: Solve for x
    x = 34,681,098.62/9,763.56
  6. Step 6: Final answer
    x = 3,552.09

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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.