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Finding the Fourth Proportional to 9,476.73, 13,077.74 and 5,498.53

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Solution

The fourth proportional to 9,476.73, 13,077.74 and 5,498.53 is: 7,587.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.73 : 13,077.74 = 5,498.53 : x
  2. Step 2: Convert to fraction form
    9,476.73/13,077.74 = 5,498.53/x
  3. Step 3: Cross multiply
    9,476.73x = 13,077.74 × 5,498.53
  4. Step 4: Simplify right side
    9,476.73x = 71,908,326.77
  5. Step 5: Solve for x
    x = 71,908,326.77/9,476.73
  6. Step 6: Final answer
    x = 7,587.88

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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.