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Finding the Fourth Proportional to 9,577.84, 14,367 and 2,652.40

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Solution

The fourth proportional to 9,577.84, 14,367 and 2,652.40 is: 3,978.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.84 : 14,367 = 2,652.40 : x
  2. Step 2: Convert to fraction form
    9,577.84/14,367 = 2,652.40/x
  3. Step 3: Cross multiply
    9,577.84x = 14,367 × 2,652.40
  4. Step 4: Simplify right side
    9,577.84x = 38,107,030.80
  5. Step 5: Solve for x
    x = 38,107,030.80/9,577.84
  6. Step 6: Final answer
    x = 3,978.67

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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.