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Finding the Fourth Proportional to 6,284.90, 9,415.02 and 5,116.16

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Solution

The fourth proportional to 6,284.90, 9,415.02 and 5,116.16 is: 7,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.90 : 9,415.02 = 5,116.16 : x
  2. Step 2: Convert to fraction form
    6,284.90/9,415.02 = 5,116.16/x
  3. Step 3: Cross multiply
    6,284.90x = 9,415.02 × 5,116.16
  4. Step 4: Simplify right side
    6,284.90x = 48,168,748.72
  5. Step 5: Solve for x
    x = 48,168,748.72/6,284.90
  6. Step 6: Final answer
    x = 7,664.20

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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.