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Finding the Fourth Proportional to 10,378.54, 14,320.64 and 9,853.12

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Solution

The fourth proportional to 10,378.54, 14,320.64 and 9,853.12 is: 13,595.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.54 : 14,320.64 = 9,853.12 : x
  2. Step 2: Convert to fraction form
    10,378.54/14,320.64 = 9,853.12/x
  3. Step 3: Cross multiply
    10,378.54x = 14,320.64 × 9,853.12
  4. Step 4: Simplify right side
    10,378.54x = 141,102,984.40
  5. Step 5: Solve for x
    x = 141,102,984.40/10,378.54
  6. Step 6: Final answer
    x = 13,595.65

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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.