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Finding the Fourth Proportional to 6,503.34, 8,972.37 and 3,670.35

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Solution

The fourth proportional to 6,503.34, 8,972.37 and 3,670.35 is: 5,063.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.34 : 8,972.37 = 3,670.35 : x
  2. Step 2: Convert to fraction form
    6,503.34/8,972.37 = 3,670.35/x
  3. Step 3: Cross multiply
    6,503.34x = 8,972.37 × 3,670.35
  4. Step 4: Simplify right side
    6,503.34x = 32,931,738.23
  5. Step 5: Solve for x
    x = 32,931,738.23/6,503.34
  6. Step 6: Final answer
    x = 5,063.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.