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Finding the Fourth Proportional to 9,365.82, 14,032.32 and 8,348.86

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Solution

The fourth proportional to 9,365.82, 14,032.32 and 8,348.86 is: 12,508.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.82 : 14,032.32 = 8,348.86 : x
  2. Step 2: Convert to fraction form
    9,365.82/14,032.32 = 8,348.86/x
  3. Step 3: Cross multiply
    9,365.82x = 14,032.32 × 8,348.86
  4. Step 4: Simplify right side
    9,365.82x = 117,153,875.16
  5. Step 5: Solve for x
    x = 117,153,875.16/9,365.82
  6. Step 6: Final answer
    x = 12,508.66

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1.5x scale

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.