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Finding the Fourth Proportional to 9,972.21, 13,763.64 and 5,726.16

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Solution

The fourth proportional to 9,972.21, 13,763.64 and 5,726.16 is: 7,903.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.21 : 13,763.64 = 5,726.16 : x
  2. Step 2: Convert to fraction form
    9,972.21/13,763.64 = 5,726.16/x
  3. Step 3: Cross multiply
    9,972.21x = 13,763.64 × 5,726.16
  4. Step 4: Simplify right side
    9,972.21x = 78,812,804.82
  5. Step 5: Solve for x
    x = 78,812,804.82/9,972.21
  6. Step 6: Final answer
    x = 7,903.24

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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.