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Finding the Fourth Proportional to 9,751.83, 14,615.42 and 4,820.15

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Solution

The fourth proportional to 9,751.83, 14,615.42 and 4,820.15 is: 7,224.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.83 : 14,615.42 = 4,820.15 : x
  2. Step 2: Convert to fraction form
    9,751.83/14,615.42 = 4,820.15/x
  3. Step 3: Cross multiply
    9,751.83x = 14,615.42 × 4,820.15
  4. Step 4: Simplify right side
    9,751.83x = 70,448,419.54
  5. Step 5: Solve for x
    x = 70,448,419.54/9,751.83
  6. Step 6: Final answer
    x = 7,224.12

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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.