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Finding the Fourth Proportional to 6,973.59, 9,632.07 and 5,213.01

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Solution

The fourth proportional to 6,973.59, 9,632.07 and 5,213.01 is: 7,200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.59 : 9,632.07 = 5,213.01 : x
  2. Step 2: Convert to fraction form
    6,973.59/9,632.07 = 5,213.01/x
  3. Step 3: Cross multiply
    6,973.59x = 9,632.07 × 5,213.01
  4. Step 4: Simplify right side
    6,973.59x = 50,212,077.23
  5. Step 5: Solve for x
    x = 50,212,077.23/6,973.59
  6. Step 6: Final answer
    x = 7,200.32

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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.