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Finding the Fourth Proportional to 9,852.40, 13,597.68 and 5,660.56

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Solution

The fourth proportional to 9,852.40, 13,597.68 and 5,660.56 is: 7,812.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.40 : 13,597.68 = 5,660.56 : x
  2. Step 2: Convert to fraction form
    9,852.40/13,597.68 = 5,660.56/x
  3. Step 3: Cross multiply
    9,852.40x = 13,597.68 × 5,660.56
  4. Step 4: Simplify right side
    9,852.40x = 76,970,483.50
  5. Step 5: Solve for x
    x = 76,970,483.50/9,852.40
  6. Step 6: Final answer
    x = 7,812.36

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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.