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Finding the Fourth Proportional to 6,158.40, 9,237.60 and 6,100.80

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Solution

The fourth proportional to 6,158.40, 9,237.60 and 6,100.80 is: 9,151.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.40 : 9,237.60 = 6,100.80 : x
  2. Step 2: Convert to fraction form
    6,158.40/9,237.60 = 6,100.80/x
  3. Step 3: Cross multiply
    6,158.40x = 9,237.60 × 6,100.80
  4. Step 4: Simplify right side
    6,158.40x = 56,356,750.08
  5. Step 5: Solve for x
    x = 56,356,750.08/6,158.40
  6. Step 6: Final answer
    x = 9,151.20

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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.