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Finding the Fourth Proportional to 9,361.60, 14,054.64 and 6,261.52

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Solution

The fourth proportional to 9,361.60, 14,054.64 and 6,261.52 is: 9,400.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,361.60 : 14,054.64 = 6,261.52 : x
  2. Step 2: Convert to fraction form
    9,361.60/14,054.64 = 6,261.52/x
  3. Step 3: Cross multiply
    9,361.60x = 14,054.64 × 6,261.52
  4. Step 4: Simplify right side
    9,361.60x = 88,003,409.45
  5. Step 5: Solve for x
    x = 88,003,409.45/9,361.60
  6. Step 6: Final answer
    x = 9,400.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.