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Finding the Fourth Proportional to 9,814.12, 14,715.33 and 6,655.44

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Solution

The fourth proportional to 9,814.12, 14,715.33 and 6,655.44 is: 9,979.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.12 : 14,715.33 = 6,655.44 : x
  2. Step 2: Convert to fraction form
    9,814.12/14,715.33 = 6,655.44/x
  3. Step 3: Cross multiply
    9,814.12x = 14,715.33 × 6,655.44
  4. Step 4: Simplify right side
    9,814.12x = 97,937,026.12
  5. Step 5: Solve for x
    x = 97,937,026.12/9,814.12
  6. Step 6: Final answer
    x = 9,979.20

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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.