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Finding the Fourth Proportional to 9,886.69, 14,832.02 and 3,646.74

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Solution

The fourth proportional to 9,886.69, 14,832.02 and 3,646.74 is: 5,470.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.69 : 14,832.02 = 3,646.74 : x
  2. Step 2: Convert to fraction form
    9,886.69/14,832.02 = 3,646.74/x
  3. Step 3: Cross multiply
    9,886.69x = 14,832.02 × 3,646.74
  4. Step 4: Simplify right side
    9,886.69x = 54,088,428.22
  5. Step 5: Solve for x
    x = 54,088,428.22/9,886.69
  6. Step 6: Final answer
    x = 5,470.83

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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.