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Finding the Fourth Proportional to 9,144.63, 13,715.22 and 4,459.94

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Solution

The fourth proportional to 9,144.63, 13,715.22 and 4,459.94 is: 6,689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.63 : 13,715.22 = 4,459.94 : x
  2. Step 2: Convert to fraction form
    9,144.63/13,715.22 = 4,459.94/x
  3. Step 3: Cross multiply
    9,144.63x = 13,715.22 × 4,459.94
  4. Step 4: Simplify right side
    9,144.63x = 61,168,989.71
  5. Step 5: Solve for x
    x = 61,168,989.71/9,144.63
  6. Step 6: Final answer
    x = 6,689.06

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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.