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Finding the Fourth Proportional to 9,714.52, 13,405.80 and 5,522.50

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Solution

The fourth proportional to 9,714.52, 13,405.80 and 5,522.50 is: 7,620.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.52 : 13,405.80 = 5,522.50 : x
  2. Step 2: Convert to fraction form
    9,714.52/13,405.80 = 5,522.50/x
  3. Step 3: Cross multiply
    9,714.52x = 13,405.80 × 5,522.50
  4. Step 4: Simplify right side
    9,714.52x = 74,033,530.50
  5. Step 5: Solve for x
    x = 74,033,530.50/9,714.52
  6. Step 6: Final answer
    x = 7,620.91

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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.