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Finding the Fourth Proportional to 10,280.40, 15,339.84 and 9,653.46

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Solution

The fourth proportional to 10,280.40, 15,339.84 and 9,653.46 is: 14,404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.40 : 15,339.84 = 9,653.46 : x
  2. Step 2: Convert to fraction form
    10,280.40/15,339.84 = 9,653.46/x
  3. Step 3: Cross multiply
    10,280.40x = 15,339.84 × 9,653.46
  4. Step 4: Simplify right side
    10,280.40x = 148,082,531.85
  5. Step 5: Solve for x
    x = 148,082,531.85/10,280.40
  6. Step 6: Final answer
    x = 14,404.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.