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Finding the Fourth Proportional to 8,973.40, 13,461.64 and 3,427.24

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Solution

The fourth proportional to 8,973.40, 13,461.64 and 3,427.24 is: 5,141.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973.40 : 13,461.64 = 3,427.24 : x
  2. Step 2: Convert to fraction form
    8,973.40/13,461.64 = 3,427.24/x
  3. Step 3: Cross multiply
    8,973.40x = 13,461.64 × 3,427.24
  4. Step 4: Simplify right side
    8,973.40x = 46,136,271.07
  5. Step 5: Solve for x
    x = 46,136,271.07/8,973.40
  6. Step 6: Final answer
    x = 5,141.45

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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.