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Finding the Fourth Proportional to 9,792.81, 13,510.74 and 6,258.06

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Solution

The fourth proportional to 9,792.81, 13,510.74 and 6,258.06 is: 8,633.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.81 : 13,510.74 = 6,258.06 : x
  2. Step 2: Convert to fraction form
    9,792.81/13,510.74 = 6,258.06/x
  3. Step 3: Cross multiply
    9,792.81x = 13,510.74 × 6,258.06
  4. Step 4: Simplify right side
    9,792.81x = 84,551,021.56
  5. Step 5: Solve for x
    x = 84,551,021.56/9,792.81
  6. Step 6: Final answer
    x = 8,633.99

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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.