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Finding the Fourth Proportional to 6,580.85, 9,877.04 and 4,120.47

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Solution

The fourth proportional to 6,580.85, 9,877.04 and 4,120.47 is: 6,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.85 : 9,877.04 = 4,120.47 : x
  2. Step 2: Convert to fraction form
    6,580.85/9,877.04 = 4,120.47/x
  3. Step 3: Cross multiply
    6,580.85x = 9,877.04 × 4,120.47
  4. Step 4: Simplify right side
    6,580.85x = 40,698,041.86
  5. Step 5: Solve for x
    x = 40,698,041.86/6,580.85
  6. Step 6: Final answer
    x = 6,184.32

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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.