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Finding the Fourth Proportional to 6,426.06, 9,612.69 and 5,130.06

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Solution

The fourth proportional to 6,426.06, 9,612.69 and 5,130.06 is: 7,674.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.06 : 9,612.69 = 5,130.06 : x
  2. Step 2: Convert to fraction form
    6,426.06/9,612.69 = 5,130.06/x
  3. Step 3: Cross multiply
    6,426.06x = 9,612.69 × 5,130.06
  4. Step 4: Simplify right side
    6,426.06x = 49,313,676.46
  5. Step 5: Solve for x
    x = 49,313,676.46/6,426.06
  6. Step 6: Final answer
    x = 7,674.01

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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.