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Finding the Fourth Proportional to 9,386.65, 12,953.87 and 5,408.56

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Solution

The fourth proportional to 9,386.65, 12,953.87 and 5,408.56 is: 7,463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.65 : 12,953.87 = 5,408.56 : x
  2. Step 2: Convert to fraction form
    9,386.65/12,953.87 = 5,408.56/x
  3. Step 3: Cross multiply
    9,386.65x = 12,953.87 × 5,408.56
  4. Step 4: Simplify right side
    9,386.65x = 70,061,783.13
  5. Step 5: Solve for x
    x = 70,061,783.13/9,386.65
  6. Step 6: Final answer
    x = 7,463.98

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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.