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Finding the Fourth Proportional to 9,695.58, 14,536.32 and 4,427.75

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Solution

The fourth proportional to 9,695.58, 14,536.32 and 4,427.75 is: 6,638.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.58 : 14,536.32 = 4,427.75 : x
  2. Step 2: Convert to fraction form
    9,695.58/14,536.32 = 4,427.75/x
  3. Step 3: Cross multiply
    9,695.58x = 14,536.32 × 4,427.75
  4. Step 4: Simplify right side
    9,695.58x = 64,363,190.88
  5. Step 5: Solve for x
    x = 64,363,190.88/9,695.58
  6. Step 6: Final answer
    x = 6,638.41

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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.