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Finding the Fourth Proportional to 9,656.40, 13,323.60 and 6,463.92

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Solution

The fourth proportional to 9,656.40, 13,323.60 and 6,463.92 is: 8,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.40 : 13,323.60 = 6,463.92 : x
  2. Step 2: Convert to fraction form
    9,656.40/13,323.60 = 6,463.92/x
  3. Step 3: Cross multiply
    9,656.40x = 13,323.60 × 6,463.92
  4. Step 4: Simplify right side
    9,656.40x = 86,122,684.51
  5. Step 5: Solve for x
    x = 86,122,684.51/9,656.40
  6. Step 6: Final answer
    x = 8,918.72

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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.