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Finding the Fourth Proportional to 9,712.89, 14,538 and 5,026.46

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Solution

The fourth proportional to 9,712.89, 14,538 and 5,026.46 is: 7,523.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.89 : 14,538 = 5,026.46 : x
  2. Step 2: Convert to fraction form
    9,712.89/14,538 = 5,026.46/x
  3. Step 3: Cross multiply
    9,712.89x = 14,538 × 5,026.46
  4. Step 4: Simplify right side
    9,712.89x = 73,074,602.79
  5. Step 5: Solve for x
    x = 73,074,602.79/9,712.89
  6. Step 6: Final answer
    x = 7,523.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.