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Finding the Fourth Proportional to 9,364.25, 12,924.32 and 5,587.65

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Solution

The fourth proportional to 9,364.25, 12,924.32 and 5,587.65 is: 7,711.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.25 : 12,924.32 = 5,587.65 : x
  2. Step 2: Convert to fraction form
    9,364.25/12,924.32 = 5,587.65/x
  3. Step 3: Cross multiply
    9,364.25x = 12,924.32 × 5,587.65
  4. Step 4: Simplify right side
    9,364.25x = 72,216,548.71
  5. Step 5: Solve for x
    x = 72,216,548.71/9,364.25
  6. Step 6: Final answer
    x = 7,711.94

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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.