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Finding the Fourth Proportional to 7,238.36, 9,989.05 and 4,405.86

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Solution

The fourth proportional to 7,238.36, 9,989.05 and 4,405.86 is: 6,080.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.36 : 9,989.05 = 4,405.86 : x
  2. Step 2: Convert to fraction form
    7,238.36/9,989.05 = 4,405.86/x
  3. Step 3: Cross multiply
    7,238.36x = 9,989.05 × 4,405.86
  4. Step 4: Simplify right side
    7,238.36x = 44,010,298.55
  5. Step 5: Solve for x
    x = 44,010,298.55/7,238.36
  6. Step 6: Final answer
    x = 6,080.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.