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Finding the Fourth Proportional to 6,307.29, 9,457.74 and 3,675.63

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Solution

The fourth proportional to 6,307.29, 9,457.74 and 3,675.63 is: 5,511.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.29 : 9,457.74 = 3,675.63 : x
  2. Step 2: Convert to fraction form
    6,307.29/9,457.74 = 3,675.63/x
  3. Step 3: Cross multiply
    6,307.29x = 9,457.74 × 3,675.63
  4. Step 4: Simplify right side
    6,307.29x = 34,763,152.88
  5. Step 5: Solve for x
    x = 34,763,152.88/6,307.29
  6. Step 6: Final answer
    x = 5,511.58

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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.