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Finding the Fourth Proportional to 9,756.63, 13,464.19 and 5,507.87

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Solution

The fourth proportional to 9,756.63, 13,464.19 and 5,507.87 is: 7,600.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.63 : 13,464.19 = 5,507.87 : x
  2. Step 2: Convert to fraction form
    9,756.63/13,464.19 = 5,507.87/x
  3. Step 3: Cross multiply
    9,756.63x = 13,464.19 × 5,507.87
  4. Step 4: Simplify right side
    9,756.63x = 74,159,061.34
  5. Step 5: Solve for x
    x = 74,159,061.34/9,756.63
  6. Step 6: Final answer
    x = 7,600.89

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Why These Related Problems?

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