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Finding the Fourth Proportional to 9,647.60, 13,310.30 and 5,869.58

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Solution

The fourth proportional to 9,647.60, 13,310.30 and 5,869.58 is: 8,097.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.60 : 13,310.30 = 5,869.58 : x
  2. Step 2: Convert to fraction form
    9,647.60/13,310.30 = 5,869.58/x
  3. Step 3: Cross multiply
    9,647.60x = 13,310.30 × 5,869.58
  4. Step 4: Simplify right side
    9,647.60x = 78,125,870.67
  5. Step 5: Solve for x
    x = 78,125,870.67/9,647.60
  6. Step 6: Final answer
    x = 8,097.96

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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.