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Finding the Fourth Proportional to 9,834.84, 14,676.65 and 9,778.68

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Solution

The fourth proportional to 9,834.84, 14,676.65 and 9,778.68 is: 14,592.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.84 : 14,676.65 = 9,778.68 : x
  2. Step 2: Convert to fraction form
    9,834.84/14,676.65 = 9,778.68/x
  3. Step 3: Cross multiply
    9,834.84x = 14,676.65 × 9,778.68
  4. Step 4: Simplify right side
    9,834.84x = 143,518,263.82
  5. Step 5: Solve for x
    x = 143,518,263.82/9,834.84
  6. Step 6: Final answer
    x = 14,592.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.