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Finding the Fourth Proportional to 6,297.30, 9,445.95 and 6,158.93

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Solution

The fourth proportional to 6,297.30, 9,445.95 and 6,158.93 is: 9,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.30 : 9,445.95 = 6,158.93 : x
  2. Step 2: Convert to fraction form
    6,297.30/9,445.95 = 6,158.93/x
  3. Step 3: Cross multiply
    6,297.30x = 9,445.95 × 6,158.93
  4. Step 4: Simplify right side
    6,297.30x = 58,176,897.60
  5. Step 5: Solve for x
    x = 58,176,897.60/6,297.30
  6. Step 6: Final answer
    x = 9,238.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.