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Finding the Fourth Proportional to 6,590.34, 9,888.14 and 2,894.71

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Solution

The fourth proportional to 6,590.34, 9,888.14 and 2,894.71 is: 4,343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.34 : 9,888.14 = 2,894.71 : x
  2. Step 2: Convert to fraction form
    6,590.34/9,888.14 = 2,894.71/x
  3. Step 3: Cross multiply
    6,590.34x = 9,888.14 × 2,894.71
  4. Step 4: Simplify right side
    6,590.34x = 28,623,297.74
  5. Step 5: Solve for x
    x = 28,623,297.74/6,590.34
  6. Step 6: Final answer
    x = 4,343.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.