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Finding the Fourth Proportional to 12,973, 19,461.42 and 6,043.72

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Solution

The fourth proportional to 12,973, 19,461.42 and 6,043.72 is: 9,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,973 : 19,461.42 = 6,043.72 : x
  2. Step 2: Convert to fraction form
    12,973/19,461.42 = 6,043.72/x
  3. Step 3: Cross multiply
    12,973x = 19,461.42 × 6,043.72
  4. Step 4: Simplify right side
    12,973x = 117,619,373.28
  5. Step 5: Solve for x
    x = 117,619,373.28/12,973
  6. Step 6: Final answer
    x = 9,066.47

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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.