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Finding the Fourth Proportional to 9,134.98, 12,606.03 and 5,156.06

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Solution

The fourth proportional to 9,134.98, 12,606.03 and 5,156.06 is: 7,115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.98 : 12,606.03 = 5,156.06 : x
  2. Step 2: Convert to fraction form
    9,134.98/12,606.03 = 5,156.06/x
  3. Step 3: Cross multiply
    9,134.98x = 12,606.03 × 5,156.06
  4. Step 4: Simplify right side
    9,134.98x = 64,997,384.01
  5. Step 5: Solve for x
    x = 64,997,384.01/9,134.98
  6. Step 6: Final answer
    x = 7,115.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.