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Finding the Fourth Proportional to 9,880.42, 13,628.72 and 6,895.16

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Solution

The fourth proportional to 9,880.42, 13,628.72 and 6,895.16 is: 9,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.42 : 13,628.72 = 6,895.16 : x
  2. Step 2: Convert to fraction form
    9,880.42/13,628.72 = 6,895.16/x
  3. Step 3: Cross multiply
    9,880.42x = 13,628.72 × 6,895.16
  4. Step 4: Simplify right side
    9,880.42x = 93,972,205.00
  5. Step 5: Solve for x
    x = 93,972,205.00/9,880.42
  6. Step 6: Final answer
    x = 9,510.95

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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.