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Finding the Fourth Proportional to 10,303.50, 14,208.48 and 9,165.63

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Solution

The fourth proportional to 10,303.50, 14,208.48 and 9,165.63 is: 12,639.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.50 : 14,208.48 = 9,165.63 : x
  2. Step 2: Convert to fraction form
    10,303.50/14,208.48 = 9,165.63/x
  3. Step 3: Cross multiply
    10,303.50x = 14,208.48 × 9,165.63
  4. Step 4: Simplify right side
    10,303.50x = 130,229,670.54
  5. Step 5: Solve for x
    x = 130,229,670.54/10,303.50
  6. Step 6: Final answer
    x = 12,639.36

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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.