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Finding the Fourth Proportional to 9,206.40, 12,705 and 5,014.72

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Solution

The fourth proportional to 9,206.40, 12,705 and 5,014.72 is: 6,920.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.40 : 12,705 = 5,014.72 : x
  2. Step 2: Convert to fraction form
    9,206.40/12,705 = 5,014.72/x
  3. Step 3: Cross multiply
    9,206.40x = 12,705 × 5,014.72
  4. Step 4: Simplify right side
    9,206.40x = 63,712,017.60
  5. Step 5: Solve for x
    x = 63,712,017.60/9,206.40
  6. Step 6: Final answer
    x = 6,920.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.