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Finding the Fourth Proportional to 9,830.60, 13,570.86 and 5,796.19

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Solution

The fourth proportional to 9,830.60, 13,570.86 and 5,796.19 is: 8,001.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.60 : 13,570.86 = 5,796.19 : x
  2. Step 2: Convert to fraction form
    9,830.60/13,570.86 = 5,796.19/x
  3. Step 3: Cross multiply
    9,830.60x = 13,570.86 × 5,796.19
  4. Step 4: Simplify right side
    9,830.60x = 78,659,283.02
  5. Step 5: Solve for x
    x = 78,659,283.02/9,830.60
  6. Step 6: Final answer
    x = 8,001.47

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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.