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Finding the Fourth Proportional to 9,828.95, 14,632.25 and 9,770.58

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Solution

The fourth proportional to 9,828.95, 14,632.25 and 9,770.58 is: 14,545.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.95 : 14,632.25 = 9,770.58 : x
  2. Step 2: Convert to fraction form
    9,828.95/14,632.25 = 9,770.58/x
  3. Step 3: Cross multiply
    9,828.95x = 14,632.25 × 9,770.58
  4. Step 4: Simplify right side
    9,828.95x = 142,965,520.35
  5. Step 5: Solve for x
    x = 142,965,520.35/9,828.95
  6. Step 6: Final answer
    x = 14,545.36

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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.