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Finding the Fourth Proportional to 9,672.23, 14,525.35 and 9,533.72

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Solution

The fourth proportional to 9,672.23, 14,525.35 and 9,533.72 is: 14,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.23 : 14,525.35 = 9,533.72 : x
  2. Step 2: Convert to fraction form
    9,672.23/14,525.35 = 9,533.72/x
  3. Step 3: Cross multiply
    9,672.23x = 14,525.35 × 9,533.72
  4. Step 4: Simplify right side
    9,672.23x = 138,480,577.39
  5. Step 5: Solve for x
    x = 138,480,577.39/9,672.23
  6. Step 6: Final answer
    x = 14,317.34

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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.