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Finding the Fourth Proportional to 9,714.28, 13,405.68 and 5,522.50

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Solution

The fourth proportional to 9,714.28, 13,405.68 and 5,522.50 is: 7,621.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.28 : 13,405.68 = 5,522.50 : x
  2. Step 2: Convert to fraction form
    9,714.28/13,405.68 = 5,522.50/x
  3. Step 3: Cross multiply
    9,714.28x = 13,405.68 × 5,522.50
  4. Step 4: Simplify right side
    9,714.28x = 74,032,867.80
  5. Step 5: Solve for x
    x = 74,032,867.80/9,714.28
  6. Step 6: Final answer
    x = 7,621.03

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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.