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Finding the Fourth Proportional to 9,762.48, 13,468.60 and 6,409.84

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Solution

The fourth proportional to 9,762.48, 13,468.60 and 6,409.84 is: 8,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.48 : 13,468.60 = 6,409.84 : x
  2. Step 2: Convert to fraction form
    9,762.48/13,468.60 = 6,409.84/x
  3. Step 3: Cross multiply
    9,762.48x = 13,468.60 × 6,409.84
  4. Step 4: Simplify right side
    9,762.48x = 86,331,571.02
  5. Step 5: Solve for x
    x = 86,331,571.02/9,762.48
  6. Step 6: Final answer
    x = 8,843.20

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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.