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Finding the Fourth Proportional to 9,565.97, 14,348.82 and 4,636.04

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Solution

The fourth proportional to 9,565.97, 14,348.82 and 4,636.04 is: 6,953.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.97 : 14,348.82 = 4,636.04 : x
  2. Step 2: Convert to fraction form
    9,565.97/14,348.82 = 4,636.04/x
  3. Step 3: Cross multiply
    9,565.97x = 14,348.82 × 4,636.04
  4. Step 4: Simplify right side
    9,565.97x = 66,521,703.47
  5. Step 5: Solve for x
    x = 66,521,703.47/9,565.97
  6. Step 6: Final answer
    x = 6,953.99

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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.