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Finding the Fourth Proportional to 6,245.60, 9,368.40 and 4,277.30

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Solution

The fourth proportional to 6,245.60, 9,368.40 and 4,277.30 is: 6,415.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,245.60 : 9,368.40 = 4,277.30 : x
  2. Step 2: Convert to fraction form
    6,245.60/9,368.40 = 4,277.30/x
  3. Step 3: Cross multiply
    6,245.60x = 9,368.40 × 4,277.30
  4. Step 4: Simplify right side
    6,245.60x = 40,071,457.32
  5. Step 5: Solve for x
    x = 40,071,457.32/6,245.60
  6. Step 6: Final answer
    x = 6,415.95

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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.