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Finding the Fourth Proportional to 9,554.73, 14,332.74 and 2,534.64

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Solution

The fourth proportional to 9,554.73, 14,332.74 and 2,534.64 is: 3,802.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,554.73 : 14,332.74 = 2,534.64 : x
  2. Step 2: Convert to fraction form
    9,554.73/14,332.74 = 2,534.64/x
  3. Step 3: Cross multiply
    9,554.73x = 14,332.74 × 2,534.64
  4. Step 4: Simplify right side
    9,554.73x = 36,328,336.11
  5. Step 5: Solve for x
    x = 36,328,336.11/9,554.73
  6. Step 6: Final answer
    x = 3,802.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.