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Finding the Fourth Proportional to 9,853.96, 13,598.47 and 6,317.17

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Solution

The fourth proportional to 9,853.96, 13,598.47 and 6,317.17 is: 8,717.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.96 : 13,598.47 = 6,317.17 : x
  2. Step 2: Convert to fraction form
    9,853.96/13,598.47 = 6,317.17/x
  3. Step 3: Cross multiply
    9,853.96x = 13,598.47 × 6,317.17
  4. Step 4: Simplify right side
    9,853.96x = 85,903,849.14
  5. Step 5: Solve for x
    x = 85,903,849.14/9,853.96
  6. Step 6: Final answer
    x = 8,717.70

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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.