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Finding the Fourth Proportional to 9,843.50, 13,590.18 and 6,312.86

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Solution

The fourth proportional to 9,843.50, 13,590.18 and 6,312.86 is: 8,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.50 : 13,590.18 = 6,312.86 : x
  2. Step 2: Convert to fraction form
    9,843.50/13,590.18 = 6,312.86/x
  3. Step 3: Cross multiply
    9,843.50x = 13,590.18 × 6,312.86
  4. Step 4: Simplify right side
    9,843.50x = 85,792,903.71
  5. Step 5: Solve for x
    x = 85,792,903.71/9,843.50
  6. Step 6: Final answer
    x = 8,715.69

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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.