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Finding the Fourth Proportional to 7,145.96, 9,859.56 and 4,784

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Solution

The fourth proportional to 7,145.96, 9,859.56 and 4,784 is: 6,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.96 : 9,859.56 = 4,784 : x
  2. Step 2: Convert to fraction form
    7,145.96/9,859.56 = 4,784/x
  3. Step 3: Cross multiply
    7,145.96x = 9,859.56 × 4,784
  4. Step 4: Simplify right side
    7,145.96x = 47,168,135.04
  5. Step 5: Solve for x
    x = 47,168,135.04/7,145.96
  6. Step 6: Final answer
    x = 6,600.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.