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Finding the Fourth Proportional to 9,420.80, 13,000.64 and 5,441.92

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Solution

The fourth proportional to 9,420.80, 13,000.64 and 5,441.92 is: 7,509.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.80 : 13,000.64 = 5,441.92 : x
  2. Step 2: Convert to fraction form
    9,420.80/13,000.64 = 5,441.92/x
  3. Step 3: Cross multiply
    9,420.80x = 13,000.64 × 5,441.92
  4. Step 4: Simplify right side
    9,420.80x = 70,748,442.83
  5. Step 5: Solve for x
    x = 70,748,442.83/9,420.80
  6. Step 6: Final answer
    x = 7,509.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.