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Finding the Fourth Proportional to 9,864.59, 14,796.88 and 4,021.65

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Solution

The fourth proportional to 9,864.59, 14,796.88 and 4,021.65 is: 6,032.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.59 : 14,796.88 = 4,021.65 : x
  2. Step 2: Convert to fraction form
    9,864.59/14,796.88 = 4,021.65/x
  3. Step 3: Cross multiply
    9,864.59x = 14,796.88 × 4,021.65
  4. Step 4: Simplify right side
    9,864.59x = 59,507,862.40
  5. Step 5: Solve for x
    x = 59,507,862.40/9,864.59
  6. Step 6: Final answer
    x = 6,032.48

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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.