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Finding the Fourth Proportional to 9,604, 14,411.67 and 4,056.99

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Solution

The fourth proportional to 9,604, 14,411.67 and 4,056.99 is: 6,087.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604 : 14,411.67 = 4,056.99 : x
  2. Step 2: Convert to fraction form
    9,604/14,411.67 = 4,056.99/x
  3. Step 3: Cross multiply
    9,604x = 14,411.67 × 4,056.99
  4. Step 4: Simplify right side
    9,604x = 58,468,001.07
  5. Step 5: Solve for x
    x = 58,468,001.07/9,604
  6. Step 6: Final answer
    x = 6,087.88

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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.