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Finding the Fourth Proportional to 9,730.15, 14,586.82 and 8,258.99

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Solution

The fourth proportional to 9,730.15, 14,586.82 and 8,258.99 is: 12,381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.15 : 14,586.82 = 8,258.99 : x
  2. Step 2: Convert to fraction form
    9,730.15/14,586.82 = 8,258.99/x
  3. Step 3: Cross multiply
    9,730.15x = 14,586.82 × 8,258.99
  4. Step 4: Simplify right side
    9,730.15x = 120,472,306.93
  5. Step 5: Solve for x
    x = 120,472,306.93/9,730.15
  6. Step 6: Final answer
    x = 12,381.34

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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.