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Finding the Fourth Proportional to 9,885.04, 13,642.68 and 5,579

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Solution

The fourth proportional to 9,885.04, 13,642.68 and 5,579 is: 7,699.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.04 : 13,642.68 = 5,579 : x
  2. Step 2: Convert to fraction form
    9,885.04/13,642.68 = 5,579/x
  3. Step 3: Cross multiply
    9,885.04x = 13,642.68 × 5,579
  4. Step 4: Simplify right side
    9,885.04x = 76,112,511.72
  5. Step 5: Solve for x
    x = 76,112,511.72/9,885.04
  6. Step 6: Final answer
    x = 7,699.77

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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.