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Finding the Fourth Proportional to 9,412.74, 12,988.35 and 5,220.99

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Solution

The fourth proportional to 9,412.74, 12,988.35 and 5,220.99 is: 7,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.74 : 12,988.35 = 5,220.99 : x
  2. Step 2: Convert to fraction form
    9,412.74/12,988.35 = 5,220.99/x
  3. Step 3: Cross multiply
    9,412.74x = 12,988.35 × 5,220.99
  4. Step 4: Simplify right side
    9,412.74x = 67,812,045.47
  5. Step 5: Solve for x
    x = 67,812,045.47/9,412.74
  6. Step 6: Final answer
    x = 7,204.28

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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.