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Finding the Fourth Proportional to 8,491.70, 12,749.70 and 6,037.40

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Solution

The fourth proportional to 8,491.70, 12,749.70 and 6,037.40 is: 9,064.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.70 : 12,749.70 = 6,037.40 : x
  2. Step 2: Convert to fraction form
    8,491.70/12,749.70 = 6,037.40/x
  3. Step 3: Cross multiply
    8,491.70x = 12,749.70 × 6,037.40
  4. Step 4: Simplify right side
    8,491.70x = 76,975,038.78
  5. Step 5: Solve for x
    x = 76,975,038.78/8,491.70
  6. Step 6: Final answer
    x = 9,064.74

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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.