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Finding the Fourth Proportional to 9,707.84, 14,549.60 and 4,154.64

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Solution

The fourth proportional to 9,707.84, 14,549.60 and 4,154.64 is: 6,226.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.84 : 14,549.60 = 4,154.64 : x
  2. Step 2: Convert to fraction form
    9,707.84/14,549.60 = 4,154.64/x
  3. Step 3: Cross multiply
    9,707.84x = 14,549.60 × 4,154.64
  4. Step 4: Simplify right side
    9,707.84x = 60,448,350.14
  5. Step 5: Solve for x
    x = 60,448,350.14/9,707.84
  6. Step 6: Final answer
    x = 6,226.76

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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.