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Finding the Fourth Proportional to 9,811.62, 14,712.80 and 3,567.24

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Solution

The fourth proportional to 9,811.62, 14,712.80 and 3,567.24 is: 5,349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.62 : 14,712.80 = 3,567.24 : x
  2. Step 2: Convert to fraction form
    9,811.62/14,712.80 = 3,567.24/x
  3. Step 3: Cross multiply
    9,811.62x = 14,712.80 × 3,567.24
  4. Step 4: Simplify right side
    9,811.62x = 52,484,088.67
  5. Step 5: Solve for x
    x = 52,484,088.67/9,811.62
  6. Step 6: Final answer
    x = 5,349.18

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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.