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Finding the Fourth Proportional to 9,866.16, 14,804.10 and 6,963.12

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Solution

The fourth proportional to 9,866.16, 14,804.10 and 6,963.12 is: 10,448.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.16 : 14,804.10 = 6,963.12 : x
  2. Step 2: Convert to fraction form
    9,866.16/14,804.10 = 6,963.12/x
  3. Step 3: Cross multiply
    9,866.16x = 14,804.10 × 6,963.12
  4. Step 4: Simplify right side
    9,866.16x = 103,082,724.79
  5. Step 5: Solve for x
    x = 103,082,724.79/9,866.16
  6. Step 6: Final answer
    x = 10,448.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.