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Finding the Fourth Proportional to 9,537.84, 14,185.80 and 9,434.16

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Solution

The fourth proportional to 9,537.84, 14,185.80 and 9,434.16 is: 14,031.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.84 : 14,185.80 = 9,434.16 : x
  2. Step 2: Convert to fraction form
    9,537.84/14,185.80 = 9,434.16/x
  3. Step 3: Cross multiply
    9,537.84x = 14,185.80 × 9,434.16
  4. Step 4: Simplify right side
    9,537.84x = 133,831,106.93
  5. Step 5: Solve for x
    x = 133,831,106.93/9,537.84
  6. Step 6: Final answer
    x = 14,031.59

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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.