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Finding the Fourth Proportional to 9,905.86, 13,670.01 and 5,429.53

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Solution

The fourth proportional to 9,905.86, 13,670.01 and 5,429.53 is: 7,492.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.86 : 13,670.01 = 5,429.53 : x
  2. Step 2: Convert to fraction form
    9,905.86/13,670.01 = 5,429.53/x
  3. Step 3: Cross multiply
    9,905.86x = 13,670.01 × 5,429.53
  4. Step 4: Simplify right side
    9,905.86x = 74,221,729.40
  5. Step 5: Solve for x
    x = 74,221,729.40/9,905.86
  6. Step 6: Final answer
    x = 7,492.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.