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Finding the Fourth Proportional to 9,629.25, 14,437.62 and 6,332.34

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Solution

The fourth proportional to 9,629.25, 14,437.62 and 6,332.34 is: 9,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629.25 : 14,437.62 = 6,332.34 : x
  2. Step 2: Convert to fraction form
    9,629.25/14,437.62 = 6,332.34/x
  3. Step 3: Cross multiply
    9,629.25x = 14,437.62 × 6,332.34
  4. Step 4: Simplify right side
    9,629.25x = 91,423,918.63
  5. Step 5: Solve for x
    x = 91,423,918.63/9,629.25
  6. Step 6: Final answer
    x = 9,494.40

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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.