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Finding the Fourth Proportional to 9,547.96, 14,343.90 and 6,781.36

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Solution

The fourth proportional to 9,547.96, 14,343.90 and 6,781.36 is: 10,187.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.96 : 14,343.90 = 6,781.36 : x
  2. Step 2: Convert to fraction form
    9,547.96/14,343.90 = 6,781.36/x
  3. Step 3: Cross multiply
    9,547.96x = 14,343.90 × 6,781.36
  4. Step 4: Simplify right side
    9,547.96x = 97,271,149.70
  5. Step 5: Solve for x
    x = 97,271,149.70/9,547.96
  6. Step 6: Final answer
    x = 10,187.64

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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.