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Finding the Fourth Proportional to 9,223.76, 13,823.76 and 3,373.40

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Solution

The fourth proportional to 9,223.76, 13,823.76 and 3,373.40 is: 5,055.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.76 : 13,823.76 = 3,373.40 : x
  2. Step 2: Convert to fraction form
    9,223.76/13,823.76 = 3,373.40/x
  3. Step 3: Cross multiply
    9,223.76x = 13,823.76 × 3,373.40
  4. Step 4: Simplify right side
    9,223.76x = 46,633,071.98
  5. Step 5: Solve for x
    x = 46,633,071.98/9,223.76
  6. Step 6: Final answer
    x = 5,055.76

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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.