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Finding the Fourth Proportional to 9,488.72, 14,228.53 and 4,486.93

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Solution

The fourth proportional to 9,488.72, 14,228.53 and 4,486.93 is: 6,728.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.72 : 14,228.53 = 4,486.93 : x
  2. Step 2: Convert to fraction form
    9,488.72/14,228.53 = 4,486.93/x
  3. Step 3: Cross multiply
    9,488.72x = 14,228.53 × 4,486.93
  4. Step 4: Simplify right side
    9,488.72x = 63,842,324.54
  5. Step 5: Solve for x
    x = 63,842,324.54/9,488.72
  6. Step 6: Final answer
    x = 6,728.23

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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.