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Finding the Fourth Proportional to 9,205.40, 12,703.62 and 5,013.72

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Solution

The fourth proportional to 9,205.40, 12,703.62 and 5,013.72 is: 6,919.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.40 : 12,703.62 = 5,013.72 : x
  2. Step 2: Convert to fraction form
    9,205.40/12,703.62 = 5,013.72/x
  3. Step 3: Cross multiply
    9,205.40x = 12,703.62 × 5,013.72
  4. Step 4: Simplify right side
    9,205.40x = 63,692,393.67
  5. Step 5: Solve for x
    x = 63,692,393.67/9,205.40
  6. Step 6: Final answer
    x = 6,919.03

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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.