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Finding the Fourth Proportional to 7,232.34, 9,986.54 and 5,346.06

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Solution

The fourth proportional to 7,232.34, 9,986.54 and 5,346.06 is: 7,381.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.34 : 9,986.54 = 5,346.06 : x
  2. Step 2: Convert to fraction form
    7,232.34/9,986.54 = 5,346.06/x
  3. Step 3: Cross multiply
    7,232.34x = 9,986.54 × 5,346.06
  4. Step 4: Simplify right side
    7,232.34x = 53,388,642.03
  5. Step 5: Solve for x
    x = 53,388,642.03/7,232.34
  6. Step 6: Final answer
    x = 7,381.93

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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.