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Finding the Fourth Proportional to 9,658.32, 14,490.02 and 3,084.64

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Solution

The fourth proportional to 9,658.32, 14,490.02 and 3,084.64 is: 4,627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.32 : 14,490.02 = 3,084.64 : x
  2. Step 2: Convert to fraction form
    9,658.32/14,490.02 = 3,084.64/x
  3. Step 3: Cross multiply
    9,658.32x = 14,490.02 × 3,084.64
  4. Step 4: Simplify right side
    9,658.32x = 44,696,495.29
  5. Step 5: Solve for x
    x = 44,696,495.29/9,658.32
  6. Step 6: Final answer
    x = 4,627.77

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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.