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Finding the Fourth Proportional to 9,127.85, 13,689.67 and 2,554.50

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Solution

The fourth proportional to 9,127.85, 13,689.67 and 2,554.50 is: 3,831.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,127.85 : 13,689.67 = 2,554.50 : x
  2. Step 2: Convert to fraction form
    9,127.85/13,689.67 = 2,554.50/x
  3. Step 3: Cross multiply
    9,127.85x = 13,689.67 × 2,554.50
  4. Step 4: Simplify right side
    9,127.85x = 34,970,262.02
  5. Step 5: Solve for x
    x = 34,970,262.02/9,127.85
  6. Step 6: Final answer
    x = 3,831.16

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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.