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Finding the Fourth Proportional to 9,867.78, 14,794.95 and 3,706.50

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Solution

The fourth proportional to 9,867.78, 14,794.95 and 3,706.50 is: 5,557.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.78 : 14,794.95 = 3,706.50 : x
  2. Step 2: Convert to fraction form
    9,867.78/14,794.95 = 3,706.50/x
  3. Step 3: Cross multiply
    9,867.78x = 14,794.95 × 3,706.50
  4. Step 4: Simplify right side
    9,867.78x = 54,837,482.18
  5. Step 5: Solve for x
    x = 54,837,482.18/9,867.78
  6. Step 6: Final answer
    x = 5,557.23

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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.