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Finding the Fourth Proportional to 9,647.58, 14,460.20 and 4,442.52

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Solution

The fourth proportional to 9,647.58, 14,460.20 and 4,442.52 is: 6,658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.58 : 14,460.20 = 4,442.52 : x
  2. Step 2: Convert to fraction form
    9,647.58/14,460.20 = 4,442.52/x
  3. Step 3: Cross multiply
    9,647.58x = 14,460.20 × 4,442.52
  4. Step 4: Simplify right side
    9,647.58x = 64,239,727.70
  5. Step 5: Solve for x
    x = 64,239,727.70/9,647.58
  6. Step 6: Final answer
    x = 6,658.64

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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.