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Finding the Fourth Proportional to 9,573.86, 14,345.10 and 5,868.25

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Solution

The fourth proportional to 9,573.86, 14,345.10 and 5,868.25 is: 8,792.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.86 : 14,345.10 = 5,868.25 : x
  2. Step 2: Convert to fraction form
    9,573.86/14,345.10 = 5,868.25/x
  3. Step 3: Cross multiply
    9,573.86x = 14,345.10 × 5,868.25
  4. Step 4: Simplify right side
    9,573.86x = 84,180,597.21
  5. Step 5: Solve for x
    x = 84,180,597.21/9,573.86
  6. Step 6: Final answer
    x = 8,792.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.