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Finding the Fourth Proportional to 12,970.89, 19,462.10 and 6,304.41

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Solution

The fourth proportional to 12,970.89, 19,462.10 and 6,304.41 is: 9,459.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.89 : 19,462.10 = 6,304.41 : x
  2. Step 2: Convert to fraction form
    12,970.89/19,462.10 = 6,304.41/x
  3. Step 3: Cross multiply
    12,970.89x = 19,462.10 × 6,304.41
  4. Step 4: Simplify right side
    12,970.89x = 122,697,026.34
  5. Step 5: Solve for x
    x = 122,697,026.34/12,970.89
  6. Step 6: Final answer
    x = 9,459.41

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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.