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Finding the Fourth Proportional to 9,323.84, 13,918.16 and 8,094.72

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Solution

The fourth proportional to 9,323.84, 13,918.16 and 8,094.72 is: 12,083.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.84 : 13,918.16 = 8,094.72 : x
  2. Step 2: Convert to fraction form
    9,323.84/13,918.16 = 8,094.72/x
  3. Step 3: Cross multiply
    9,323.84x = 13,918.16 × 8,094.72
  4. Step 4: Simplify right side
    9,323.84x = 112,663,608.12
  5. Step 5: Solve for x
    x = 112,663,608.12/9,323.84
  6. Step 6: Final answer
    x = 12,083.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.