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Finding the Fourth Proportional to 9,505.64, 14,252.30 and 5,126.24

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Solution

The fourth proportional to 9,505.64, 14,252.30 and 5,126.24 is: 7,686.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.64 : 14,252.30 = 5,126.24 : x
  2. Step 2: Convert to fraction form
    9,505.64/14,252.30 = 5,126.24/x
  3. Step 3: Cross multiply
    9,505.64x = 14,252.30 × 5,126.24
  4. Step 4: Simplify right side
    9,505.64x = 73,060,710.35
  5. Step 5: Solve for x
    x = 73,060,710.35/9,505.64
  6. Step 6: Final answer
    x = 7,686.04

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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.