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Finding the Fourth Proportional to 9,583.10, 14,374.65 and 8,315.90

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Solution

The fourth proportional to 9,583.10, 14,374.65 and 8,315.90 is: 12,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.10 : 14,374.65 = 8,315.90 : x
  2. Step 2: Convert to fraction form
    9,583.10/14,374.65 = 8,315.90/x
  3. Step 3: Cross multiply
    9,583.10x = 14,374.65 × 8,315.90
  4. Step 4: Simplify right side
    9,583.10x = 119,538,151.94
  5. Step 5: Solve for x
    x = 119,538,151.94/9,583.10
  6. Step 6: Final answer
    x = 12,473.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.