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Finding the Fourth Proportional to 9,419.52, 14,132.16 and 3,264

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Solution

The fourth proportional to 9,419.52, 14,132.16 and 3,264 is: 4,897.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.52 : 14,132.16 = 3,264 : x
  2. Step 2: Convert to fraction form
    9,419.52/14,132.16 = 3,264/x
  3. Step 3: Cross multiply
    9,419.52x = 14,132.16 × 3,264
  4. Step 4: Simplify right side
    9,419.52x = 46,127,370.24
  5. Step 5: Solve for x
    x = 46,127,370.24/9,419.52
  6. Step 6: Final answer
    x = 4,897.00

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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.