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Finding the Fourth Proportional to 9,763.29, 14,642.09 and 5,602.59

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Solution

The fourth proportional to 9,763.29, 14,642.09 and 5,602.59 is: 8,402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.29 : 14,642.09 = 5,602.59 : x
  2. Step 2: Convert to fraction form
    9,763.29/14,642.09 = 5,602.59/x
  3. Step 3: Cross multiply
    9,763.29x = 14,642.09 × 5,602.59
  4. Step 4: Simplify right side
    9,763.29x = 82,033,627.01
  5. Step 5: Solve for x
    x = 82,033,627.01/9,763.29
  6. Step 6: Final answer
    x = 8,402.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.