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Finding the Fourth Proportional to 9,420.77, 13,000.66 and 5,646.12

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Solution

The fourth proportional to 9,420.77, 13,000.66 and 5,646.12 is: 7,791.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.77 : 13,000.66 = 5,646.12 : x
  2. Step 2: Convert to fraction form
    9,420.77/13,000.66 = 5,646.12/x
  3. Step 3: Cross multiply
    9,420.77x = 13,000.66 × 5,646.12
  4. Step 4: Simplify right side
    9,420.77x = 73,403,300.55
  5. Step 5: Solve for x
    x = 73,403,300.55/9,420.77
  6. Step 6: Final answer
    x = 7,791.65

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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.