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Finding the Fourth Proportional to 9,475.85, 13,068.35 and 5,697.65

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Solution

The fourth proportional to 9,475.85, 13,068.35 and 5,697.65 is: 7,857.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.85 : 13,068.35 = 5,697.65 : x
  2. Step 2: Convert to fraction form
    9,475.85/13,068.35 = 5,697.65/x
  3. Step 3: Cross multiply
    9,475.85x = 13,068.35 × 5,697.65
  4. Step 4: Simplify right side
    9,475.85x = 74,458,909.93
  5. Step 5: Solve for x
    x = 74,458,909.93/9,475.85
  6. Step 6: Final answer
    x = 7,857.75

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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.