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Finding the Fourth Proportional to 10,303.29, 15,476.79 and 9,703.41

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Solution

The fourth proportional to 10,303.29, 15,476.79 and 9,703.41 is: 14,575.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.29 : 15,476.79 = 9,703.41 : x
  2. Step 2: Convert to fraction form
    10,303.29/15,476.79 = 9,703.41/x
  3. Step 3: Cross multiply
    10,303.29x = 15,476.79 × 9,703.41
  4. Step 4: Simplify right side
    10,303.29x = 150,177,638.85
  5. Step 5: Solve for x
    x = 150,177,638.85/10,303.29
  6. Step 6: Final answer
    x = 14,575.70

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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.