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Finding the Fourth Proportional to 9,663.95, 14,496.24 and 4,597.07

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Solution

The fourth proportional to 9,663.95, 14,496.24 and 4,597.07 is: 6,895.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.95 : 14,496.24 = 4,597.07 : x
  2. Step 2: Convert to fraction form
    9,663.95/14,496.24 = 4,597.07/x
  3. Step 3: Cross multiply
    9,663.95x = 14,496.24 × 4,597.07
  4. Step 4: Simplify right side
    9,663.95x = 66,640,157.54
  5. Step 5: Solve for x
    x = 66,640,157.54/9,663.95
  6. Step 6: Final answer
    x = 6,895.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.