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Finding the Fourth Proportional to 9,850.57, 14,767.54 and 4,582.86

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Solution

The fourth proportional to 9,850.57, 14,767.54 and 4,582.86 is: 6,870.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.57 : 14,767.54 = 4,582.86 : x
  2. Step 2: Convert to fraction form
    9,850.57/14,767.54 = 4,582.86/x
  3. Step 3: Cross multiply
    9,850.57x = 14,767.54 × 4,582.86
  4. Step 4: Simplify right side
    9,850.57x = 67,677,638.06
  5. Step 5: Solve for x
    x = 67,677,638.06/9,850.57
  6. Step 6: Final answer
    x = 6,870.43

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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.