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Finding the Fourth Proportional to 9,830.54, 13,573.14 and 6,054.86

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Solution

The fourth proportional to 9,830.54, 13,573.14 and 6,054.86 is: 8,360.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.54 : 13,573.14 = 6,054.86 : x
  2. Step 2: Convert to fraction form
    9,830.54/13,573.14 = 6,054.86/x
  3. Step 3: Cross multiply
    9,830.54x = 13,573.14 × 6,054.86
  4. Step 4: Simplify right side
    9,830.54x = 82,183,462.46
  5. Step 5: Solve for x
    x = 82,183,462.46/9,830.54
  6. Step 6: Final answer
    x = 8,360.02

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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.