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Finding the Fourth Proportional to 9,409.36, 14,111.16 and 6,506.32

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Solution

The fourth proportional to 9,409.36, 14,111.16 and 6,506.32 is: 9,757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.36 : 14,111.16 = 6,506.32 : x
  2. Step 2: Convert to fraction form
    9,409.36/14,111.16 = 6,506.32/x
  3. Step 3: Cross multiply
    9,409.36x = 14,111.16 × 6,506.32
  4. Step 4: Simplify right side
    9,409.36x = 91,811,722.53
  5. Step 5: Solve for x
    x = 91,811,722.53/9,409.36
  6. Step 6: Final answer
    x = 9,757.49

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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.