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Finding the Fourth Proportional to 9,463.64, 14,185.26 and 4,522.77

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Solution

The fourth proportional to 9,463.64, 14,185.26 and 4,522.77 is: 6,779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.64 : 14,185.26 = 4,522.77 : x
  2. Step 2: Convert to fraction form
    9,463.64/14,185.26 = 4,522.77/x
  3. Step 3: Cross multiply
    9,463.64x = 14,185.26 × 4,522.77
  4. Step 4: Simplify right side
    9,463.64x = 64,156,668.37
  5. Step 5: Solve for x
    x = 64,156,668.37/9,463.64
  6. Step 6: Final answer
    x = 6,779.28

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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.