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Finding the Fourth Proportional to 6,598.34, 9,108.63 and 4,211.44

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Solution

The fourth proportional to 6,598.34, 9,108.63 and 4,211.44 is: 5,813.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.34 : 9,108.63 = 4,211.44 : x
  2. Step 2: Convert to fraction form
    6,598.34/9,108.63 = 4,211.44/x
  3. Step 3: Cross multiply
    6,598.34x = 9,108.63 × 4,211.44
  4. Step 4: Simplify right side
    6,598.34x = 38,360,465.35
  5. Step 5: Solve for x
    x = 38,360,465.35/6,598.34
  6. Step 6: Final answer
    x = 5,813.66

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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.