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Finding the Fourth Proportional to 9,903.32, 14,865.90 and 4,064

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Solution

The fourth proportional to 9,903.32, 14,865.90 and 4,064 is: 6,100.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.32 : 14,865.90 = 4,064 : x
  2. Step 2: Convert to fraction form
    9,903.32/14,865.90 = 4,064/x
  3. Step 3: Cross multiply
    9,903.32x = 14,865.90 × 4,064
  4. Step 4: Simplify right side
    9,903.32x = 60,415,017.60
  5. Step 5: Solve for x
    x = 60,415,017.60/9,903.32
  6. Step 6: Final answer
    x = 6,100.48

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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.