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Finding the Fourth Proportional to 9,565.68, 13,200.72 and 5,374.32

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Solution

The fourth proportional to 9,565.68, 13,200.72 and 5,374.32 is: 7,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.68 : 13,200.72 = 5,374.32 : x
  2. Step 2: Convert to fraction form
    9,565.68/13,200.72 = 5,374.32/x
  3. Step 3: Cross multiply
    9,565.68x = 13,200.72 × 5,374.32
  4. Step 4: Simplify right side
    9,565.68x = 70,944,893.51
  5. Step 5: Solve for x
    x = 70,944,893.51/9,565.68
  6. Step 6: Final answer
    x = 7,416.61

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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.