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Finding the Fourth Proportional to 9,442.08, 14,166 and 6,815.52

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Solution

The fourth proportional to 9,442.08, 14,166 and 6,815.52 is: 10,225.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.08 : 14,166 = 6,815.52 : x
  2. Step 2: Convert to fraction form
    9,442.08/14,166 = 6,815.52/x
  3. Step 3: Cross multiply
    9,442.08x = 14,166 × 6,815.52
  4. Step 4: Simplify right side
    9,442.08x = 96,548,656.32
  5. Step 5: Solve for x
    x = 96,548,656.32/9,442.08
  6. Step 6: Final answer
    x = 10,225.36

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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.