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Finding the Fourth Proportional to 9,632.25, 14,442.12 and 6,335.34

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Solution

The fourth proportional to 9,632.25, 14,442.12 and 6,335.34 is: 9,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.25 : 14,442.12 = 6,335.34 : x
  2. Step 2: Convert to fraction form
    9,632.25/14,442.12 = 6,335.34/x
  3. Step 3: Cross multiply
    9,632.25x = 14,442.12 × 6,335.34
  4. Step 4: Simplify right side
    9,632.25x = 91,495,740.52
  5. Step 5: Solve for x
    x = 91,495,740.52/9,632.25
  6. Step 6: Final answer
    x = 9,498.90

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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.