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Finding the Fourth Proportional to 9,756.96, 13,464.60 and 5,280.72

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Solution

The fourth proportional to 9,756.96, 13,464.60 and 5,280.72 is: 7,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.96 : 13,464.60 = 5,280.72 : x
  2. Step 2: Convert to fraction form
    9,756.96/13,464.60 = 5,280.72/x
  3. Step 3: Cross multiply
    9,756.96x = 13,464.60 × 5,280.72
  4. Step 4: Simplify right side
    9,756.96x = 71,102,782.51
  5. Step 5: Solve for x
    x = 71,102,782.51/9,756.96
  6. Step 6: Final answer
    x = 7,287.39

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Why These Related Problems?

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