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Finding the Fourth Proportional to 6,415.90, 9,623.85 and 4,447.60

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Solution

The fourth proportional to 6,415.90, 9,623.85 and 4,447.60 is: 6,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.90 : 9,623.85 = 4,447.60 : x
  2. Step 2: Convert to fraction form
    6,415.90/9,623.85 = 4,447.60/x
  3. Step 3: Cross multiply
    6,415.90x = 9,623.85 × 4,447.60
  4. Step 4: Simplify right side
    6,415.90x = 42,803,035.26
  5. Step 5: Solve for x
    x = 42,803,035.26/6,415.90
  6. Step 6: Final answer
    x = 6,671.40

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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.