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Finding the Fourth Proportional to 9,666.15, 14,498.68 and 2,645.65

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Solution

The fourth proportional to 9,666.15, 14,498.68 and 2,645.65 is: 3,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.15 : 14,498.68 = 2,645.65 : x
  2. Step 2: Convert to fraction form
    9,666.15/14,498.68 = 2,645.65/x
  3. Step 3: Cross multiply
    9,666.15x = 14,498.68 × 2,645.65
  4. Step 4: Simplify right side
    9,666.15x = 38,358,403.11
  5. Step 5: Solve for x
    x = 38,358,403.11/9,666.15
  6. Step 6: Final answer
    x = 3,968.32

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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.