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Finding the Fourth Proportional to 9,565.83, 13,200.84 and 5,316.77

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Solution

The fourth proportional to 9,565.83, 13,200.84 and 5,316.77 is: 7,337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.83 : 13,200.84 = 5,316.77 : x
  2. Step 2: Convert to fraction form
    9,565.83/13,200.84 = 5,316.77/x
  3. Step 3: Cross multiply
    9,565.83x = 13,200.84 × 5,316.77
  4. Step 4: Simplify right side
    9,565.83x = 70,185,863.09
  5. Step 5: Solve for x
    x = 70,185,863.09/9,565.83
  6. Step 6: Final answer
    x = 7,337.14

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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.