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Finding the Fourth Proportional to 9,602.78, 14,404.10 and 4,334.94

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Solution

The fourth proportional to 9,602.78, 14,404.10 and 4,334.94 is: 6,502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.78 : 14,404.10 = 4,334.94 : x
  2. Step 2: Convert to fraction form
    9,602.78/14,404.10 = 4,334.94/x
  3. Step 3: Cross multiply
    9,602.78x = 14,404.10 × 4,334.94
  4. Step 4: Simplify right side
    9,602.78x = 62,440,887.58
  5. Step 5: Solve for x
    x = 62,440,887.58/9,602.78
  6. Step 6: Final answer
    x = 6,502.38

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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.