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Finding the Fourth Proportional to 9,356.88, 14,034.98 and 2,783.10

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Solution

The fourth proportional to 9,356.88, 14,034.98 and 2,783.10 is: 4,174.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.88 : 14,034.98 = 2,783.10 : x
  2. Step 2: Convert to fraction form
    9,356.88/14,034.98 = 2,783.10/x
  3. Step 3: Cross multiply
    9,356.88x = 14,034.98 × 2,783.10
  4. Step 4: Simplify right side
    9,356.88x = 39,060,752.84
  5. Step 5: Solve for x
    x = 39,060,752.84/9,356.88
  6. Step 6: Final answer
    x = 4,174.55

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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.