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Finding the Fourth Proportional to 9,092.68, 12,547.77 and 5,113.79

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Solution

The fourth proportional to 9,092.68, 12,547.77 and 5,113.79 is: 7,056.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.68 : 12,547.77 = 5,113.79 : x
  2. Step 2: Convert to fraction form
    9,092.68/12,547.77 = 5,113.79/x
  3. Step 3: Cross multiply
    9,092.68x = 12,547.77 × 5,113.79
  4. Step 4: Simplify right side
    9,092.68x = 64,166,660.75
  5. Step 5: Solve for x
    x = 64,166,660.75/9,092.68
  6. Step 6: Final answer
    x = 7,056.96

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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.