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Finding the Fourth Proportional to 9,677.10, 13,354.02 and 5,485.26

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Solution

The fourth proportional to 9,677.10, 13,354.02 and 5,485.26 is: 7,569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.10 : 13,354.02 = 5,485.26 : x
  2. Step 2: Convert to fraction form
    9,677.10/13,354.02 = 5,485.26/x
  3. Step 3: Cross multiply
    9,677.10x = 13,354.02 × 5,485.26
  4. Step 4: Simplify right side
    9,677.10x = 73,250,271.75
  5. Step 5: Solve for x
    x = 73,250,271.75/9,677.10
  6. Step 6: Final answer
    x = 7,569.44

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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.