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Finding the Fourth Proportional to 8,493.61, 11,681.47 and 6,812.35

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Solution

The fourth proportional to 8,493.61, 11,681.47 and 6,812.35 is: 9,369.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.61 : 11,681.47 = 6,812.35 : x
  2. Step 2: Convert to fraction form
    8,493.61/11,681.47 = 6,812.35/x
  3. Step 3: Cross multiply
    8,493.61x = 11,681.47 × 6,812.35
  4. Step 4: Simplify right side
    8,493.61x = 79,578,268.86
  5. Step 5: Solve for x
    x = 79,578,268.86/8,493.61
  6. Step 6: Final answer
    x = 9,369.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.