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Finding the Fourth Proportional to 6,503.76, 8,969.22 and 4,346.52

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Solution

The fourth proportional to 6,503.76, 8,969.22 and 4,346.52 is: 5,994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.76 : 8,969.22 = 4,346.52 : x
  2. Step 2: Convert to fraction form
    6,503.76/8,969.22 = 4,346.52/x
  3. Step 3: Cross multiply
    6,503.76x = 8,969.22 × 4,346.52
  4. Step 4: Simplify right side
    6,503.76x = 38,984,894.11
  5. Step 5: Solve for x
    x = 38,984,894.11/6,503.76
  6. Step 6: Final answer
    x = 5,994.21

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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.