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Finding the Fourth Proportional to 9,442.32, 13,035.74 and 7,186.48

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Solution

The fourth proportional to 9,442.32, 13,035.74 and 7,186.48 is: 9,921.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.32 : 13,035.74 = 7,186.48 : x
  2. Step 2: Convert to fraction form
    9,442.32/13,035.74 = 7,186.48/x
  3. Step 3: Cross multiply
    9,442.32x = 13,035.74 × 7,186.48
  4. Step 4: Simplify right side
    9,442.32x = 93,681,084.80
  5. Step 5: Solve for x
    x = 93,681,084.80/9,442.32
  6. Step 6: Final answer
    x = 9,921.41

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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.