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Finding the Fourth Proportional to 9,038.57, 13,506.05 and 6,889.55

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Solution

The fourth proportional to 9,038.57, 13,506.05 and 6,889.55 is: 10,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.57 : 13,506.05 = 6,889.55 : x
  2. Step 2: Convert to fraction form
    9,038.57/13,506.05 = 6,889.55/x
  3. Step 3: Cross multiply
    9,038.57x = 13,506.05 × 6,889.55
  4. Step 4: Simplify right side
    9,038.57x = 93,050,504.80
  5. Step 5: Solve for x
    x = 93,050,504.80/9,038.57
  6. Step 6: Final answer
    x = 10,294.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.