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Finding the Fourth Proportional to 9,283.93, 13,872.32 and 7,017.55

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Solution

The fourth proportional to 9,283.93, 13,872.32 and 7,017.55 is: 10,485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.93 : 13,872.32 = 7,017.55 : x
  2. Step 2: Convert to fraction form
    9,283.93/13,872.32 = 7,017.55/x
  3. Step 3: Cross multiply
    9,283.93x = 13,872.32 × 7,017.55
  4. Step 4: Simplify right side
    9,283.93x = 97,349,655.76
  5. Step 5: Solve for x
    x = 97,349,655.76/9,283.93
  6. Step 6: Final answer
    x = 10,485.83

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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.