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Finding the Fourth Proportional to 10,348.32, 14,289.12 and 6,818.40

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Solution

The fourth proportional to 10,348.32, 14,289.12 and 6,818.40 is: 9,414.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.32 : 14,289.12 = 6,818.40 : x
  2. Step 2: Convert to fraction form
    10,348.32/14,289.12 = 6,818.40/x
  3. Step 3: Cross multiply
    10,348.32x = 14,289.12 × 6,818.40
  4. Step 4: Simplify right side
    10,348.32x = 97,428,935.81
  5. Step 5: Solve for x
    x = 97,428,935.81/10,348.32
  6. Step 6: Final answer
    x = 9,414.95

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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.