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Finding the Fourth Proportional to 9,807.60, 14,706.80 and 3,563.26

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Solution

The fourth proportional to 9,807.60, 14,706.80 and 3,563.26 is: 5,343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.60 : 14,706.80 = 3,563.26 : x
  2. Step 2: Convert to fraction form
    9,807.60/14,706.80 = 3,563.26/x
  3. Step 3: Cross multiply
    9,807.60x = 14,706.80 × 3,563.26
  4. Step 4: Simplify right side
    9,807.60x = 52,404,110.95
  5. Step 5: Solve for x
    x = 52,404,110.95/9,807.60
  6. Step 6: Final answer
    x = 5,343.22

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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.