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Finding the Fourth Proportional to 6,070.58, 9,113.16 and 4,116.86

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Solution

The fourth proportional to 6,070.58, 9,113.16 and 4,116.86 is: 6,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,070.58 : 9,113.16 = 4,116.86 : x
  2. Step 2: Convert to fraction form
    6,070.58/9,113.16 = 4,116.86/x
  3. Step 3: Cross multiply
    6,070.58x = 9,113.16 × 4,116.86
  4. Step 4: Simplify right side
    6,070.58x = 37,517,603.88
  5. Step 5: Solve for x
    x = 37,517,603.88/6,070.58
  6. Step 6: Final answer
    x = 6,180.23

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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.