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Finding the Fourth Proportional to 9,684.86, 13,364.30 and 5,435.34

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Solution

The fourth proportional to 9,684.86, 13,364.30 and 5,435.34 is: 7,500.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.86 : 13,364.30 = 5,435.34 : x
  2. Step 2: Convert to fraction form
    9,684.86/13,364.30 = 5,435.34/x
  3. Step 3: Cross multiply
    9,684.86x = 13,364.30 × 5,435.34
  4. Step 4: Simplify right side
    9,684.86x = 72,639,514.36
  5. Step 5: Solve for x
    x = 72,639,514.36/9,684.86
  6. Step 6: Final answer
    x = 7,500.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.