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Finding the Fourth Proportional to 9,635.96, 13,295.40 and 5,656.88

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Solution

The fourth proportional to 9,635.96, 13,295.40 and 5,656.88 is: 7,805.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.96 : 13,295.40 = 5,656.88 : x
  2. Step 2: Convert to fraction form
    9,635.96/13,295.40 = 5,656.88/x
  3. Step 3: Cross multiply
    9,635.96x = 13,295.40 × 5,656.88
  4. Step 4: Simplify right side
    9,635.96x = 75,210,482.35
  5. Step 5: Solve for x
    x = 75,210,482.35/9,635.96
  6. Step 6: Final answer
    x = 7,805.19

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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.