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Finding the Fourth Proportional to 9,530.96, 14,303.40 and 9,458.56

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Solution

The fourth proportional to 9,530.96, 14,303.40 and 9,458.56 is: 14,194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.96 : 14,303.40 = 9,458.56 : x
  2. Step 2: Convert to fraction form
    9,530.96/14,303.40 = 9,458.56/x
  3. Step 3: Cross multiply
    9,530.96x = 14,303.40 × 9,458.56
  4. Step 4: Simplify right side
    9,530.96x = 135,289,567.10
  5. Step 5: Solve for x
    x = 135,289,567.10/9,530.96
  6. Step 6: Final answer
    x = 14,194.75

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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.