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Finding the Fourth Proportional to 9,691.56, 13,374.32 and 5,442.03

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Solution

The fourth proportional to 9,691.56, 13,374.32 and 5,442.03 is: 7,509.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.56 : 13,374.32 = 5,442.03 : x
  2. Step 2: Convert to fraction form
    9,691.56/13,374.32 = 5,442.03/x
  3. Step 3: Cross multiply
    9,691.56x = 13,374.32 × 5,442.03
  4. Step 4: Simplify right side
    9,691.56x = 72,783,423.46
  5. Step 5: Solve for x
    x = 72,783,423.46/9,691.56
  6. Step 6: Final answer
    x = 7,509.98

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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.