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Finding the Fourth Proportional to 6,506.47, 8,978.95 and 3,522.34

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Solution

The fourth proportional to 6,506.47, 8,978.95 and 3,522.34 is: 4,860.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.47 : 8,978.95 = 3,522.34 : x
  2. Step 2: Convert to fraction form
    6,506.47/8,978.95 = 3,522.34/x
  3. Step 3: Cross multiply
    6,506.47x = 8,978.95 × 3,522.34
  4. Step 4: Simplify right side
    6,506.47x = 31,626,914.74
  5. Step 5: Solve for x
    x = 31,626,914.74/6,506.47
  6. Step 6: Final answer
    x = 4,860.84

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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.