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Finding the Fourth Proportional to 10,003.16, 13,798.92 and 6,973.50

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Solution

The fourth proportional to 10,003.16, 13,798.92 and 6,973.50 is: 9,619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.16 : 13,798.92 = 6,973.50 : x
  2. Step 2: Convert to fraction form
    10,003.16/13,798.92 = 6,973.50/x
  3. Step 3: Cross multiply
    10,003.16x = 13,798.92 × 6,973.50
  4. Step 4: Simplify right side
    10,003.16x = 96,226,768.62
  5. Step 5: Solve for x
    x = 96,226,768.62/10,003.16
  6. Step 6: Final answer
    x = 9,619.64

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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.