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Finding the Fourth Proportional to 9,307.12, 12,837.84 and 5,946.40

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Solution

The fourth proportional to 9,307.12, 12,837.84 and 5,946.40 is: 8,202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.12 : 12,837.84 = 5,946.40 : x
  2. Step 2: Convert to fraction form
    9,307.12/12,837.84 = 5,946.40/x
  3. Step 3: Cross multiply
    9,307.12x = 12,837.84 × 5,946.40
  4. Step 4: Simplify right side
    9,307.12x = 76,338,931.78
  5. Step 5: Solve for x
    x = 76,338,931.78/9,307.12
  6. Step 6: Final answer
    x = 8,202.21

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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.