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Finding the Fourth Proportional to 9,565.47, 14,348.07 and 4,635.54

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Solution

The fourth proportional to 9,565.47, 14,348.07 and 4,635.54 is: 6,953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.47 : 14,348.07 = 4,635.54 : x
  2. Step 2: Convert to fraction form
    9,565.47/14,348.07 = 4,635.54/x
  3. Step 3: Cross multiply
    9,565.47x = 14,348.07 × 4,635.54
  4. Step 4: Simplify right side
    9,565.47x = 66,511,052.41
  5. Step 5: Solve for x
    x = 66,511,052.41/9,565.47
  6. Step 6: Final answer
    x = 6,953.24

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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.