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Finding the Fourth Proportional to 6,393, 9,590.04 and 1,776

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Solution

The fourth proportional to 6,393, 9,590.04 and 1,776 is: 2,664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393 : 9,590.04 = 1,776 : x
  2. Step 2: Convert to fraction form
    6,393/9,590.04 = 1,776/x
  3. Step 3: Cross multiply
    6,393x = 9,590.04 × 1,776
  4. Step 4: Simplify right side
    6,393x = 17,031,911.04
  5. Step 5: Solve for x
    x = 17,031,911.04/6,393
  6. Step 6: Final answer
    x = 2,664.15

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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.