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Finding the Fourth Proportional to 9,302.83, 13,956.30 and 3,064.77

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Solution

The fourth proportional to 9,302.83, 13,956.30 and 3,064.77 is: 4,597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.83 : 13,956.30 = 3,064.77 : x
  2. Step 2: Convert to fraction form
    9,302.83/13,956.30 = 3,064.77/x
  3. Step 3: Cross multiply
    9,302.83x = 13,956.30 × 3,064.77
  4. Step 4: Simplify right side
    9,302.83x = 42,772,849.55
  5. Step 5: Solve for x
    x = 42,772,849.55/9,302.83
  6. Step 6: Final answer
    x = 4,597.83

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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.