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Finding the Fourth Proportional to 9,411.68, 12,992.29 and 6,590.15

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Solution

The fourth proportional to 9,411.68, 12,992.29 and 6,590.15 is: 9,097.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.68 : 12,992.29 = 6,590.15 : x
  2. Step 2: Convert to fraction form
    9,411.68/12,992.29 = 6,590.15/x
  3. Step 3: Cross multiply
    9,411.68x = 12,992.29 × 6,590.15
  4. Step 4: Simplify right side
    9,411.68x = 85,621,139.94
  5. Step 5: Solve for x
    x = 85,621,139.94/9,411.68
  6. Step 6: Final answer
    x = 9,097.33

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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.