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Finding the Fourth Proportional to 10,328.40, 14,280.84 and 9,016.20

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Solution

The fourth proportional to 10,328.40, 14,280.84 and 9,016.20 is: 12,466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328.40 : 14,280.84 = 9,016.20 : x
  2. Step 2: Convert to fraction form
    10,328.40/14,280.84 = 9,016.20/x
  3. Step 3: Cross multiply
    10,328.40x = 14,280.84 × 9,016.20
  4. Step 4: Simplify right side
    10,328.40x = 128,758,909.61
  5. Step 5: Solve for x
    x = 128,758,909.61/10,328.40
  6. Step 6: Final answer
    x = 12,466.49

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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.