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Finding the Fourth Proportional to 9,946.54, 14,828.32 and 9,479.98

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Solution

The fourth proportional to 9,946.54, 14,828.32 and 9,479.98 is: 14,132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.54 : 14,828.32 = 9,479.98 : x
  2. Step 2: Convert to fraction form
    9,946.54/14,828.32 = 9,479.98/x
  3. Step 3: Cross multiply
    9,946.54x = 14,828.32 × 9,479.98
  4. Step 4: Simplify right side
    9,946.54x = 140,572,177.03
  5. Step 5: Solve for x
    x = 140,572,177.03/9,946.54
  6. Step 6: Final answer
    x = 14,132.77

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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.