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Finding the Fourth Proportional to 9,623.50, 13,280.47 and 5,207.50

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Solution

The fourth proportional to 9,623.50, 13,280.47 and 5,207.50 is: 7,186.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.50 : 13,280.47 = 5,207.50 : x
  2. Step 2: Convert to fraction form
    9,623.50/13,280.47 = 5,207.50/x
  3. Step 3: Cross multiply
    9,623.50x = 13,280.47 × 5,207.50
  4. Step 4: Simplify right side
    9,623.50x = 69,158,047.53
  5. Step 5: Solve for x
    x = 69,158,047.53/9,623.50
  6. Step 6: Final answer
    x = 7,186.37

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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.