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Finding the Fourth Proportional to 9,767.47, 14,614.62 and 5,804.29

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Solution

The fourth proportional to 9,767.47, 14,614.62 and 5,804.29 is: 8,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.47 : 14,614.62 = 5,804.29 : x
  2. Step 2: Convert to fraction form
    9,767.47/14,614.62 = 5,804.29/x
  3. Step 3: Cross multiply
    9,767.47x = 14,614.62 × 5,804.29
  4. Step 4: Simplify right side
    9,767.47x = 84,827,492.72
  5. Step 5: Solve for x
    x = 84,827,492.72/9,767.47
  6. Step 6: Final answer
    x = 8,684.69

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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.