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Finding the Fourth Proportional to 9,111.62, 13,674.86 and 4,730.33

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Solution

The fourth proportional to 9,111.62, 13,674.86 and 4,730.33 is: 7,099.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.62 : 13,674.86 = 4,730.33 : x
  2. Step 2: Convert to fraction form
    9,111.62/13,674.86 = 4,730.33/x
  3. Step 3: Cross multiply
    9,111.62x = 13,674.86 × 4,730.33
  4. Step 4: Simplify right side
    9,111.62x = 64,686,600.50
  5. Step 5: Solve for x
    x = 64,686,600.50/9,111.62
  6. Step 6: Final answer
    x = 7,099.35

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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.