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Finding the Fourth Proportional to 9,756.66, 14,606.28 and 6,046.98

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Solution

The fourth proportional to 9,756.66, 14,606.28 and 6,046.98 is: 9,052.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.66 : 14,606.28 = 6,046.98 : x
  2. Step 2: Convert to fraction form
    9,756.66/14,606.28 = 6,046.98/x
  3. Step 3: Cross multiply
    9,756.66x = 14,606.28 × 6,046.98
  4. Step 4: Simplify right side
    9,756.66x = 88,323,883.03
  5. Step 5: Solve for x
    x = 88,323,883.03/9,756.66
  6. Step 6: Final answer
    x = 9,052.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.