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Finding the Fourth Proportional to 9,458.15, 13,043.63 and 7,569.91

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Solution

The fourth proportional to 9,458.15, 13,043.63 and 7,569.91 is: 10,439.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.15 : 13,043.63 = 7,569.91 : x
  2. Step 2: Convert to fraction form
    9,458.15/13,043.63 = 7,569.91/x
  3. Step 3: Cross multiply
    9,458.15x = 13,043.63 × 7,569.91
  4. Step 4: Simplify right side
    9,458.15x = 98,739,002.11
  5. Step 5: Solve for x
    x = 98,739,002.11/9,458.15
  6. Step 6: Final answer
    x = 10,439.57

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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.