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Finding the Fourth Proportional to 9,045.74, 13,557.66 and 4,660.80

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Solution

The fourth proportional to 9,045.74, 13,557.66 and 4,660.80 is: 6,985.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,045.74 : 13,557.66 = 4,660.80 : x
  2. Step 2: Convert to fraction form
    9,045.74/13,557.66 = 4,660.80/x
  3. Step 3: Cross multiply
    9,045.74x = 13,557.66 × 4,660.80
  4. Step 4: Simplify right side
    9,045.74x = 63,189,541.73
  5. Step 5: Solve for x
    x = 63,189,541.73/9,045.74
  6. Step 6: Final answer
    x = 6,985.56

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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.