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Finding the Fourth Proportional to 9,302.30, 13,953.45 and 9,205.10

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Solution

The fourth proportional to 9,302.30, 13,953.45 and 9,205.10 is: 13,807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.30 : 13,953.45 = 9,205.10 : x
  2. Step 2: Convert to fraction form
    9,302.30/13,953.45 = 9,205.10/x
  3. Step 3: Cross multiply
    9,302.30x = 13,953.45 × 9,205.10
  4. Step 4: Simplify right side
    9,302.30x = 128,442,902.60
  5. Step 5: Solve for x
    x = 128,442,902.60/9,302.30
  6. Step 6: Final answer
    x = 13,807.65

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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.