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Finding the Fourth Proportional to 9,346.90, 14,023.08 and 3,021.64

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Solution

The fourth proportional to 9,346.90, 14,023.08 and 3,021.64 is: 4,533.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.90 : 14,023.08 = 3,021.64 : x
  2. Step 2: Convert to fraction form
    9,346.90/14,023.08 = 3,021.64/x
  3. Step 3: Cross multiply
    9,346.90x = 14,023.08 × 3,021.64
  4. Step 4: Simplify right side
    9,346.90x = 42,372,699.45
  5. Step 5: Solve for x
    x = 42,372,699.45/9,346.90
  6. Step 6: Final answer
    x = 4,533.34

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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.