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Finding the Fourth Proportional to 9,833.60, 13,587.66 and 7,860.44

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Solution

The fourth proportional to 9,833.60, 13,587.66 and 7,860.44 is: 10,861.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.60 : 13,587.66 = 7,860.44 : x
  2. Step 2: Convert to fraction form
    9,833.60/13,587.66 = 7,860.44/x
  3. Step 3: Cross multiply
    9,833.60x = 13,587.66 × 7,860.44
  4. Step 4: Simplify right side
    9,833.60x = 106,804,986.17
  5. Step 5: Solve for x
    x = 106,804,986.17/9,833.60
  6. Step 6: Final answer
    x = 10,861.23

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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.