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Finding the Fourth Proportional to 9,531.65, 14,288.93 and 4,849.04

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Solution

The fourth proportional to 9,531.65, 14,288.93 and 4,849.04 is: 7,269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.65 : 14,288.93 = 4,849.04 : x
  2. Step 2: Convert to fraction form
    9,531.65/14,288.93 = 4,849.04/x
  3. Step 3: Cross multiply
    9,531.65x = 14,288.93 × 4,849.04
  4. Step 4: Simplify right side
    9,531.65x = 69,287,533.81
  5. Step 5: Solve for x
    x = 69,287,533.81/9,531.65
  6. Step 6: Final answer
    x = 7,269.21

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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.