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Finding the Fourth Proportional to 9,697.98, 14,549.80 and 3,124.02

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Solution

The fourth proportional to 9,697.98, 14,549.80 and 3,124.02 is: 4,686.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.98 : 14,549.80 = 3,124.02 : x
  2. Step 2: Convert to fraction form
    9,697.98/14,549.80 = 3,124.02/x
  3. Step 3: Cross multiply
    9,697.98x = 14,549.80 × 3,124.02
  4. Step 4: Simplify right side
    9,697.98x = 45,453,866.20
  5. Step 5: Solve for x
    x = 45,453,866.20/9,697.98
  6. Step 6: Final answer
    x = 4,686.94

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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.