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Finding the Fourth Proportional to 9,854.42, 13,590.23 and 6,316.94

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Solution

The fourth proportional to 9,854.42, 13,590.23 and 6,316.94 is: 8,711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.42 : 13,590.23 = 6,316.94 : x
  2. Step 2: Convert to fraction form
    9,854.42/13,590.23 = 6,316.94/x
  3. Step 3: Cross multiply
    9,854.42x = 13,590.23 × 6,316.94
  4. Step 4: Simplify right side
    9,854.42x = 85,848,567.96
  5. Step 5: Solve for x
    x = 85,848,567.96/9,854.42
  6. Step 6: Final answer
    x = 8,711.69

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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.