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Finding the Fourth Proportional to 9,643.36, 13,313.64 and 6,291.98

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Solution

The fourth proportional to 9,643.36, 13,313.64 and 6,291.98 is: 8,686.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.36 : 13,313.64 = 6,291.98 : x
  2. Step 2: Convert to fraction form
    9,643.36/13,313.64 = 6,291.98/x
  3. Step 3: Cross multiply
    9,643.36x = 13,313.64 × 6,291.98
  4. Step 4: Simplify right side
    9,643.36x = 83,769,125.15
  5. Step 5: Solve for x
    x = 83,769,125.15/9,643.36
  6. Step 6: Final answer
    x = 8,686.72

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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.