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Finding the Fourth Proportional to 9,005.72, 12,423.51 and 6,022.35

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Solution

The fourth proportional to 9,005.72, 12,423.51 and 6,022.35 is: 8,307.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.72 : 12,423.51 = 6,022.35 : x
  2. Step 2: Convert to fraction form
    9,005.72/12,423.51 = 6,022.35/x
  3. Step 3: Cross multiply
    9,005.72x = 12,423.51 × 6,022.35
  4. Step 4: Simplify right side
    9,005.72x = 74,818,725.45
  5. Step 5: Solve for x
    x = 74,818,725.45/9,005.72
  6. Step 6: Final answer
    x = 8,307.92

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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.