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Finding the Fourth Proportional to 7,154.28, 9,871.04 and 4,319.42

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Solution

The fourth proportional to 7,154.28, 9,871.04 and 4,319.42 is: 5,959.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.28 : 9,871.04 = 4,319.42 : x
  2. Step 2: Convert to fraction form
    7,154.28/9,871.04 = 4,319.42/x
  3. Step 3: Cross multiply
    7,154.28x = 9,871.04 × 4,319.42
  4. Step 4: Simplify right side
    7,154.28x = 42,637,167.60
  5. Step 5: Solve for x
    x = 42,637,167.60/7,154.28
  6. Step 6: Final answer
    x = 5,959.67

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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.