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Finding the Fourth Proportional to 9,575.66, 13,210.35 and 5,847.50

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Solution

The fourth proportional to 9,575.66, 13,210.35 and 5,847.50 is: 8,067.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.66 : 13,210.35 = 5,847.50 : x
  2. Step 2: Convert to fraction form
    9,575.66/13,210.35 = 5,847.50/x
  3. Step 3: Cross multiply
    9,575.66x = 13,210.35 × 5,847.50
  4. Step 4: Simplify right side
    9,575.66x = 77,247,521.63
  5. Step 5: Solve for x
    x = 77,247,521.63/9,575.66
  6. Step 6: Final answer
    x = 8,067.07

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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.