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Finding the Fourth Proportional to 9,851.25, 13,594.74 and 5,659.50

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Solution

The fourth proportional to 9,851.25, 13,594.74 and 5,659.50 is: 7,810.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.25 : 13,594.74 = 5,659.50 : x
  2. Step 2: Convert to fraction form
    9,851.25/13,594.74 = 5,659.50/x
  3. Step 3: Cross multiply
    9,851.25x = 13,594.74 × 5,659.50
  4. Step 4: Simplify right side
    9,851.25x = 76,939,431.03
  5. Step 5: Solve for x
    x = 76,939,431.03/9,851.25
  6. Step 6: Final answer
    x = 7,810.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.