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Finding the Fourth Proportional to 9,814.40, 14,728.08 and 5,862.76

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Solution

The fourth proportional to 9,814.40, 14,728.08 and 5,862.76 is: 8,798.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.40 : 14,728.08 = 5,862.76 : x
  2. Step 2: Convert to fraction form
    9,814.40/14,728.08 = 5,862.76/x
  3. Step 3: Cross multiply
    9,814.40x = 14,728.08 × 5,862.76
  4. Step 4: Simplify right side
    9,814.40x = 86,347,198.30
  5. Step 5: Solve for x
    x = 86,347,198.30/9,814.40
  6. Step 6: Final answer
    x = 8,798.01

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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.