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Finding the Fourth Proportional to 9,798.94, 14,700.88 and 4,537.74

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Solution

The fourth proportional to 9,798.94, 14,700.88 and 4,537.74 is: 6,807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.94 : 14,700.88 = 4,537.74 : x
  2. Step 2: Convert to fraction form
    9,798.94/14,700.88 = 4,537.74/x
  3. Step 3: Cross multiply
    9,798.94x = 14,700.88 × 4,537.74
  4. Step 4: Simplify right side
    9,798.94x = 66,708,771.21
  5. Step 5: Solve for x
    x = 66,708,771.21/9,798.94
  6. Step 6: Final answer
    x = 6,807.75

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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.