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Finding the Fourth Proportional to 9,264.32, 13,897.56 and 3,024.80

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Solution

The fourth proportional to 9,264.32, 13,897.56 and 3,024.80 is: 4,537.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.32 : 13,897.56 = 3,024.80 : x
  2. Step 2: Convert to fraction form
    9,264.32/13,897.56 = 3,024.80/x
  3. Step 3: Cross multiply
    9,264.32x = 13,897.56 × 3,024.80
  4. Step 4: Simplify right side
    9,264.32x = 42,037,339.49
  5. Step 5: Solve for x
    x = 42,037,339.49/9,264.32
  6. Step 6: Final answer
    x = 4,537.55

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