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Finding the Fourth Proportional to 9,358.04, 14,037.67 and 2,783.68

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Solution

The fourth proportional to 9,358.04, 14,037.67 and 2,783.68 is: 4,175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.04 : 14,037.67 = 2,783.68 : x
  2. Step 2: Convert to fraction form
    9,358.04/14,037.67 = 2,783.68/x
  3. Step 3: Cross multiply
    9,358.04x = 14,037.67 × 2,783.68
  4. Step 4: Simplify right side
    9,358.04x = 39,076,349.61
  5. Step 5: Solve for x
    x = 39,076,349.61/9,358.04
  6. Step 6: Final answer
    x = 4,175.70

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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.