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Finding the Fourth Proportional to 9,697.50, 14,546.37 and 7,762.02

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Solution

The fourth proportional to 9,697.50, 14,546.37 and 7,762.02 is: 11,643.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.50 : 14,546.37 = 7,762.02 : x
  2. Step 2: Convert to fraction form
    9,697.50/14,546.37 = 7,762.02/x
  3. Step 3: Cross multiply
    9,697.50x = 14,546.37 × 7,762.02
  4. Step 4: Simplify right side
    9,697.50x = 112,909,214.87
  5. Step 5: Solve for x
    x = 112,909,214.87/9,697.50
  6. Step 6: Final answer
    x = 11,643.13

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Why These Related Problems?

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