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Finding the Fourth Proportional to 6,157.88, 9,233.58 and 4,210.64

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Solution

The fourth proportional to 6,157.88, 9,233.58 and 4,210.64 is: 6,313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.88 : 9,233.58 = 4,210.64 : x
  2. Step 2: Convert to fraction form
    6,157.88/9,233.58 = 4,210.64/x
  3. Step 3: Cross multiply
    6,157.88x = 9,233.58 × 4,210.64
  4. Step 4: Simplify right side
    6,157.88x = 38,879,281.29
  5. Step 5: Solve for x
    x = 38,879,281.29/6,157.88
  6. Step 6: Final answer
    x = 6,313.74

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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.