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Finding the Fourth Proportional to 9,966.44, 13,748.64 and 7,604.48

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Solution

The fourth proportional to 9,966.44, 13,748.64 and 7,604.48 is: 10,490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.44 : 13,748.64 = 7,604.48 : x
  2. Step 2: Convert to fraction form
    9,966.44/13,748.64 = 7,604.48/x
  3. Step 3: Cross multiply
    9,966.44x = 13,748.64 × 7,604.48
  4. Step 4: Simplify right side
    9,966.44x = 104,551,263.76
  5. Step 5: Solve for x
    x = 104,551,263.76/9,966.44
  6. Step 6: Final answer
    x = 10,490.33

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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.