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Finding the Fourth Proportional to 9,807.48, 14,714.84 and 3,567.98

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Solution

The fourth proportional to 9,807.48, 14,714.84 and 3,567.98 is: 5,353.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.48 : 14,714.84 = 3,567.98 : x
  2. Step 2: Convert to fraction form
    9,807.48/14,714.84 = 3,567.98/x
  3. Step 3: Cross multiply
    9,807.48x = 14,714.84 × 3,567.98
  4. Step 4: Simplify right side
    9,807.48x = 52,502,300.53
  5. Step 5: Solve for x
    x = 52,502,300.53/9,807.48
  6. Step 6: Final answer
    x = 5,353.29

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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.