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Finding the Fourth Proportional to 9,002.61, 13,503.93 and 3,157.86

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Solution

The fourth proportional to 9,002.61, 13,503.93 and 3,157.86 is: 4,736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.61 : 13,503.93 = 3,157.86 : x
  2. Step 2: Convert to fraction form
    9,002.61/13,503.93 = 3,157.86/x
  3. Step 3: Cross multiply
    9,002.61x = 13,503.93 × 3,157.86
  4. Step 4: Simplify right side
    9,002.61x = 42,643,520.39
  5. Step 5: Solve for x
    x = 42,643,520.39/9,002.61
  6. Step 6: Final answer
    x = 4,736.80

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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.