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Finding the Fourth Proportional to 9,113.84, 13,670.76 and 5,215.49

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Solution

The fourth proportional to 9,113.84, 13,670.76 and 5,215.49 is: 7,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.84 : 13,670.76 = 5,215.49 : x
  2. Step 2: Convert to fraction form
    9,113.84/13,670.76 = 5,215.49/x
  3. Step 3: Cross multiply
    9,113.84x = 13,670.76 × 5,215.49
  4. Step 4: Simplify right side
    9,113.84x = 71,299,712.07
  5. Step 5: Solve for x
    x = 71,299,712.07/9,113.84
  6. Step 6: Final answer
    x = 7,823.24

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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.