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Finding the Fourth Proportional to 9,582.58, 14,369 and 4,384

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Solution

The fourth proportional to 9,582.58, 14,369 and 4,384 is: 6,573.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.58 : 14,369 = 4,384 : x
  2. Step 2: Convert to fraction form
    9,582.58/14,369 = 4,384/x
  3. Step 3: Cross multiply
    9,582.58x = 14,369 × 4,384
  4. Step 4: Simplify right side
    9,582.58x = 62,993,696
  5. Step 5: Solve for x
    x = 62,993,696/9,582.58
  6. Step 6: Final answer
    x = 6,573.77

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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.