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Finding the Fourth Proportional to 9,389.01, 12,956.72 and 5,663.01

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Solution

The fourth proportional to 9,389.01, 12,956.72 and 5,663.01 is: 7,814.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.01 : 12,956.72 = 5,663.01 : x
  2. Step 2: Convert to fraction form
    9,389.01/12,956.72 = 5,663.01/x
  3. Step 3: Cross multiply
    9,389.01x = 12,956.72 × 5,663.01
  4. Step 4: Simplify right side
    9,389.01x = 73,374,006.61
  5. Step 5: Solve for x
    x = 73,374,006.61/9,389.01
  6. Step 6: Final answer
    x = 7,814.88

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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.