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Finding the Fourth Proportional to 9,756.75, 13,464.25 and 5,280.47

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Solution

The fourth proportional to 9,756.75, 13,464.25 and 5,280.47 is: 7,287.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.75 : 13,464.25 = 5,280.47 : x
  2. Step 2: Convert to fraction form
    9,756.75/13,464.25 = 5,280.47/x
  3. Step 3: Cross multiply
    9,756.75x = 13,464.25 × 5,280.47
  4. Step 4: Simplify right side
    9,756.75x = 71,097,515.15
  5. Step 5: Solve for x
    x = 71,097,515.15/9,756.75
  6. Step 6: Final answer
    x = 7,287.01

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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.