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Finding the Fourth Proportional to 9,748.12, 14,603.76 and 4,811.98

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Solution

The fourth proportional to 9,748.12, 14,603.76 and 4,811.98 is: 7,208.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.12 : 14,603.76 = 4,811.98 : x
  2. Step 2: Convert to fraction form
    9,748.12/14,603.76 = 4,811.98/x
  3. Step 3: Cross multiply
    9,748.12x = 14,603.76 × 4,811.98
  4. Step 4: Simplify right side
    9,748.12x = 70,273,001.04
  5. Step 5: Solve for x
    x = 70,273,001.04/9,748.12
  6. Step 6: Final answer
    x = 7,208.88

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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.