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Finding the Fourth Proportional to 9,552.81, 13,182.98 and 5,361.06

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Solution

The fourth proportional to 9,552.81, 13,182.98 and 5,361.06 is: 7,398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.81 : 13,182.98 = 5,361.06 : x
  2. Step 2: Convert to fraction form
    9,552.81/13,182.98 = 5,361.06/x
  3. Step 3: Cross multiply
    9,552.81x = 13,182.98 × 5,361.06
  4. Step 4: Simplify right side
    9,552.81x = 70,674,746.76
  5. Step 5: Solve for x
    x = 70,674,746.76/9,552.81
  6. Step 6: Final answer
    x = 7,398.32

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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.