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Finding the Fourth Proportional to 9,714.42, 13,405.41 and 5,466.20

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Solution

The fourth proportional to 9,714.42, 13,405.41 and 5,466.20 is: 7,543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.42 : 13,405.41 = 5,466.20 : x
  2. Step 2: Convert to fraction form
    9,714.42/13,405.41 = 5,466.20/x
  3. Step 3: Cross multiply
    9,714.42x = 13,405.41 × 5,466.20
  4. Step 4: Simplify right side
    9,714.42x = 73,276,585.11
  5. Step 5: Solve for x
    x = 73,276,585.11/9,714.42
  6. Step 6: Final answer
    x = 7,543.07

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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.