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Finding the Fourth Proportional to 9,780.32, 14,666.16 and 3,620

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Solution

The fourth proportional to 9,780.32, 14,666.16 and 3,620 is: 5,428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.32 : 14,666.16 = 3,620 : x
  2. Step 2: Convert to fraction form
    9,780.32/14,666.16 = 3,620/x
  3. Step 3: Cross multiply
    9,780.32x = 14,666.16 × 3,620
  4. Step 4: Simplify right side
    9,780.32x = 53,091,499.20
  5. Step 5: Solve for x
    x = 53,091,499.20/9,780.32
  6. Step 6: Final answer
    x = 5,428.40

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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.