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Finding the Fourth Proportional to 9,133.80, 12,342.15 and 9,133.80

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Solution

The fourth proportional to 9,133.80, 12,342.15 and 9,133.80 is: 12,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.80 : 12,342.15 = 9,133.80 : x
  2. Step 2: Convert to fraction form
    9,133.80/12,342.15 = 9,133.80/x
  3. Step 3: Cross multiply
    9,133.80x = 12,342.15 × 9,133.80
  4. Step 4: Simplify right side
    9,133.80x = 112,730,729.67
  5. Step 5: Solve for x
    x = 112,730,729.67/9,133.80
  6. Step 6: Final answer
    x = 12,342.15

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.