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Finding the Fourth Proportional to 9,827.01, 14,740.63 and 4,203.92

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Solution

The fourth proportional to 9,827.01, 14,740.63 and 4,203.92 is: 6,305.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.01 : 14,740.63 = 4,203.92 : x
  2. Step 2: Convert to fraction form
    9,827.01/14,740.63 = 4,203.92/x
  3. Step 3: Cross multiply
    9,827.01x = 14,740.63 × 4,203.92
  4. Step 4: Simplify right side
    9,827.01x = 61,968,345.06
  5. Step 5: Solve for x
    x = 61,968,345.06/9,827.01
  6. Step 6: Final answer
    x = 6,305.92

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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.