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Finding the Fourth Proportional to 9,648.60, 14,485.32 and 7,775.64

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Solution

The fourth proportional to 9,648.60, 14,485.32 and 7,775.64 is: 11,673.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.60 : 14,485.32 = 7,775.64 : x
  2. Step 2: Convert to fraction form
    9,648.60/14,485.32 = 7,775.64/x
  3. Step 3: Cross multiply
    9,648.60x = 14,485.32 × 7,775.64
  4. Step 4: Simplify right side
    9,648.60x = 112,632,633.60
  5. Step 5: Solve for x
    x = 112,632,633.60/9,648.60
  6. Step 6: Final answer
    x = 11,673.47

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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.