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Finding the Fourth Proportional to 27,875.32, 41,804.34 and 9,403

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Solution

The fourth proportional to 27,875.32, 41,804.34 and 9,403 is: 14,101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,875.32 : 41,804.34 = 9,403 : x
  2. Step 2: Convert to fraction form
    27,875.32/41,804.34 = 9,403/x
  3. Step 3: Cross multiply
    27,875.32x = 41,804.34 × 9,403
  4. Step 4: Simplify right side
    27,875.32x = 393,086,209.02
  5. Step 5: Solve for x
    x = 393,086,209.02/27,875.32
  6. Step 6: Final answer
    x = 14,101.59

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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.