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Finding the Fourth Proportional to 9,800.77, 14,682.63 and 7,598.71

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Solution

The fourth proportional to 9,800.77, 14,682.63 and 7,598.71 is: 11,383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.77 : 14,682.63 = 7,598.71 : x
  2. Step 2: Convert to fraction form
    9,800.77/14,682.63 = 7,598.71/x
  3. Step 3: Cross multiply
    9,800.77x = 14,682.63 × 7,598.71
  4. Step 4: Simplify right side
    9,800.77x = 111,569,047.41
  5. Step 5: Solve for x
    x = 111,569,047.41/9,800.77
  6. Step 6: Final answer
    x = 11,383.70

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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.