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Finding the Fourth Proportional to 9,416.62, 12,993.82 and 5,587.65

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Solution

The fourth proportional to 9,416.62, 12,993.82 and 5,587.65 is: 7,710.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.62 : 12,993.82 = 5,587.65 : x
  2. Step 2: Convert to fraction form
    9,416.62/12,993.82 = 5,587.65/x
  3. Step 3: Cross multiply
    9,416.62x = 12,993.82 × 5,587.65
  4. Step 4: Simplify right side
    9,416.62x = 72,604,904.35
  5. Step 5: Solve for x
    x = 72,604,904.35/9,416.62
  6. Step 6: Final answer
    x = 7,710.29

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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.