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Finding the Fourth Proportional to 9,677.54, 13,325.20 and 8,475.60

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Solution

The fourth proportional to 9,677.54, 13,325.20 and 8,475.60 is: 11,670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.54 : 13,325.20 = 8,475.60 : x
  2. Step 2: Convert to fraction form
    9,677.54/13,325.20 = 8,475.60/x
  3. Step 3: Cross multiply
    9,677.54x = 13,325.20 × 8,475.60
  4. Step 4: Simplify right side
    9,677.54x = 112,939,065.12
  5. Step 5: Solve for x
    x = 112,939,065.12/9,677.54
  6. Step 6: Final answer
    x = 11,670.22

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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.