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Finding the Fourth Proportional to 9,820.51, 13,552.09 and 5,344.28

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Solution

The fourth proportional to 9,820.51, 13,552.09 and 5,344.28 is: 7,374.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.51 : 13,552.09 = 5,344.28 : x
  2. Step 2: Convert to fraction form
    9,820.51/13,552.09 = 5,344.28/x
  3. Step 3: Cross multiply
    9,820.51x = 13,552.09 × 5,344.28
  4. Step 4: Simplify right side
    9,820.51x = 72,426,163.55
  5. Step 5: Solve for x
    x = 72,426,163.55/9,820.51
  6. Step 6: Final answer
    x = 7,374.99

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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.