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Finding the Fourth Proportional to 9,756.66, 14,606.42 and 6,047.70

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Solution

The fourth proportional to 9,756.66, 14,606.42 and 6,047.70 is: 9,053.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.66 : 14,606.42 = 6,047.70 : x
  2. Step 2: Convert to fraction form
    9,756.66/14,606.42 = 6,047.70/x
  3. Step 3: Cross multiply
    9,756.66x = 14,606.42 × 6,047.70
  4. Step 4: Simplify right side
    9,756.66x = 88,335,246.23
  5. Step 5: Solve for x
    x = 88,335,246.23/9,756.66
  6. Step 6: Final answer
    x = 9,053.84

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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.