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Finding the Fourth Proportional to 9,458.71, 14,200.41 and 6,352.56

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Solution

The fourth proportional to 9,458.71, 14,200.41 and 6,352.56 is: 9,537.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.71 : 14,200.41 = 6,352.56 : x
  2. Step 2: Convert to fraction form
    9,458.71/14,200.41 = 6,352.56/x
  3. Step 3: Cross multiply
    9,458.71x = 14,200.41 × 6,352.56
  4. Step 4: Simplify right side
    9,458.71x = 90,208,980.37
  5. Step 5: Solve for x
    x = 90,208,980.37/9,458.71
  6. Step 6: Final answer
    x = 9,537.14

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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.