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Finding the Fourth Proportional to 6,352.68, 9,530.64 and 2,457.36

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Solution

The fourth proportional to 6,352.68, 9,530.64 and 2,457.36 is: 3,686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.68 : 9,530.64 = 2,457.36 : x
  2. Step 2: Convert to fraction form
    6,352.68/9,530.64 = 2,457.36/x
  3. Step 3: Cross multiply
    6,352.68x = 9,530.64 × 2,457.36
  4. Step 4: Simplify right side
    6,352.68x = 23,420,213.51
  5. Step 5: Solve for x
    x = 23,420,213.51/6,352.68
  6. Step 6: Final answer
    x = 3,686.67

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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.