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Finding the Fourth Proportional to 9,565.98, 13,200.97 and 5,316.94

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Solution

The fourth proportional to 9,565.98, 13,200.97 and 5,316.94 is: 7,337.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.98 : 13,200.97 = 5,316.94 : x
  2. Step 2: Convert to fraction form
    9,565.98/13,200.97 = 5,316.94/x
  3. Step 3: Cross multiply
    9,565.98x = 13,200.97 × 5,316.94
  4. Step 4: Simplify right side
    9,565.98x = 70,188,714.32
  5. Step 5: Solve for x
    x = 70,188,714.32/9,565.98
  6. Step 6: Final answer
    x = 7,337.32

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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.