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Finding the Fourth Proportional to 9,065, 12,508.62 and 5,288.96

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Solution

The fourth proportional to 9,065, 12,508.62 and 5,288.96 is: 7,298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065 : 12,508.62 = 5,288.96 : x
  2. Step 2: Convert to fraction form
    9,065/12,508.62 = 5,288.96/x
  3. Step 3: Cross multiply
    9,065x = 12,508.62 × 5,288.96
  4. Step 4: Simplify right side
    9,065x = 66,157,590.84
  5. Step 5: Solve for x
    x = 66,157,590.84/9,065
  6. Step 6: Final answer
    x = 7,298.13

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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.