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Finding the Fourth Proportional to 10,320.28, 15,484.74 and 9,503.32

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Solution

The fourth proportional to 10,320.28, 15,484.74 and 9,503.32 is: 14,258.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,320.28 : 15,484.74 = 9,503.32 : x
  2. Step 2: Convert to fraction form
    10,320.28/15,484.74 = 9,503.32/x
  3. Step 3: Cross multiply
    10,320.28x = 15,484.74 × 9,503.32
  4. Step 4: Simplify right side
    10,320.28x = 147,156,439.34
  5. Step 5: Solve for x
    x = 147,156,439.34/10,320.28
  6. Step 6: Final answer
    x = 14,258.96

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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.