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Finding the Fourth Proportional to 9,656.40, 14,485.80 and 4,110.52

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Solution

The fourth proportional to 9,656.40, 14,485.80 and 4,110.52 is: 6,166.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.40 : 14,485.80 = 4,110.52 : x
  2. Step 2: Convert to fraction form
    9,656.40/14,485.80 = 4,110.52/x
  3. Step 3: Cross multiply
    9,656.40x = 14,485.80 × 4,110.52
  4. Step 4: Simplify right side
    9,656.40x = 59,544,170.62
  5. Step 5: Solve for x
    x = 59,544,170.62/9,656.40
  6. Step 6: Final answer
    x = 6,166.29

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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.