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Finding the Fourth Proportional to 9,106, 13,646.24 and 6,328.52

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Solution

The fourth proportional to 9,106, 13,646.24 and 6,328.52 is: 9,483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106 : 13,646.24 = 6,328.52 : x
  2. Step 2: Convert to fraction form
    9,106/13,646.24 = 6,328.52/x
  3. Step 3: Cross multiply
    9,106x = 13,646.24 × 6,328.52
  4. Step 4: Simplify right side
    9,106x = 86,360,502.76
  5. Step 5: Solve for x
    x = 86,360,502.76/9,106
  6. Step 6: Final answer
    x = 9,483.91

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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.