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Finding the Fourth Proportional to 9,569.08, 14,316.67 and 9,544.47

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Solution

The fourth proportional to 9,569.08, 14,316.67 and 9,544.47 is: 14,279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.08 : 14,316.67 = 9,544.47 : x
  2. Step 2: Convert to fraction form
    9,569.08/14,316.67 = 9,544.47/x
  3. Step 3: Cross multiply
    9,569.08x = 14,316.67 × 9,544.47
  4. Step 4: Simplify right side
    9,569.08x = 136,645,027.31
  5. Step 5: Solve for x
    x = 136,645,027.31/9,569.08
  6. Step 6: Final answer
    x = 14,279.85

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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.