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Finding the Fourth Proportional to 9,640.40, 13,298.64 and 6,497.60

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Solution

The fourth proportional to 9,640.40, 13,298.64 and 6,497.60 is: 8,963.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.40 : 13,298.64 = 6,497.60 : x
  2. Step 2: Convert to fraction form
    9,640.40/13,298.64 = 6,497.60/x
  3. Step 3: Cross multiply
    9,640.40x = 13,298.64 × 6,497.60
  4. Step 4: Simplify right side
    9,640.40x = 86,409,243.26
  5. Step 5: Solve for x
    x = 86,409,243.26/9,640.40
  6. Step 6: Final answer
    x = 8,963.24

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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.