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Finding the Fourth Proportional to 9,358.93, 13,953.24 and 8,307.11

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Solution

The fourth proportional to 9,358.93, 13,953.24 and 8,307.11 is: 12,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.93 : 13,953.24 = 8,307.11 : x
  2. Step 2: Convert to fraction form
    9,358.93/13,953.24 = 8,307.11/x
  3. Step 3: Cross multiply
    9,358.93x = 13,953.24 × 8,307.11
  4. Step 4: Simplify right side
    9,358.93x = 115,911,134.42
  5. Step 5: Solve for x
    x = 115,911,134.42/9,358.93
  6. Step 6: Final answer
    x = 12,385.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.