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Finding the Fourth Proportional to 9,419.34, 13,000.46 and 5,442.24

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Solution

The fourth proportional to 9,419.34, 13,000.46 and 5,442.24 is: 7,511.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.34 : 13,000.46 = 5,442.24 : x
  2. Step 2: Convert to fraction form
    9,419.34/13,000.46 = 5,442.24/x
  3. Step 3: Cross multiply
    9,419.34x = 13,000.46 × 5,442.24
  4. Step 4: Simplify right side
    9,419.34x = 70,751,596.22
  5. Step 5: Solve for x
    x = 70,751,596.22/9,419.34
  6. Step 6: Final answer
    x = 7,511.31

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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.