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Finding the Fourth Proportional to 9,505.10, 14,257.65 and 9,359.30

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Solution

The fourth proportional to 9,505.10, 14,257.65 and 9,359.30 is: 14,038.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.10 : 14,257.65 = 9,359.30 : x
  2. Step 2: Convert to fraction form
    9,505.10/14,257.65 = 9,359.30/x
  3. Step 3: Cross multiply
    9,505.10x = 14,257.65 × 9,359.30
  4. Step 4: Simplify right side
    9,505.10x = 133,441,623.65
  5. Step 5: Solve for x
    x = 133,441,623.65/9,505.10
  6. Step 6: Final answer
    x = 14,038.95

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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.