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Finding the Fourth Proportional to 9,357.13, 14,037.86 and 2,783.17

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Solution

The fourth proportional to 9,357.13, 14,037.86 and 2,783.17 is: 4,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.13 : 14,037.86 = 2,783.17 : x
  2. Step 2: Convert to fraction form
    9,357.13/14,037.86 = 2,783.17/x
  3. Step 3: Cross multiply
    9,357.13x = 14,037.86 × 2,783.17
  4. Step 4: Simplify right side
    9,357.13x = 39,069,750.82
  5. Step 5: Solve for x
    x = 39,069,750.82/9,357.13
  6. Step 6: Final answer
    x = 4,175.40

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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.