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Finding the Fourth Proportional to 9,852.24, 13,597.78 and 9,409.36

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Solution

The fourth proportional to 9,852.24, 13,597.78 and 9,409.36 is: 12,986.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.24 : 13,597.78 = 9,409.36 : x
  2. Step 2: Convert to fraction form
    9,852.24/13,597.78 = 9,409.36/x
  3. Step 3: Cross multiply
    9,852.24x = 13,597.78 × 9,409.36
  4. Step 4: Simplify right side
    9,852.24x = 127,946,407.22
  5. Step 5: Solve for x
    x = 127,946,407.22/9,852.24
  6. Step 6: Final answer
    x = 12,986.53

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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.