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Finding the Fourth Proportional to 9,905.79, 13,670.12 and 5,429.45

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Solution

The fourth proportional to 9,905.79, 13,670.12 and 5,429.45 is: 7,492.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.79 : 13,670.12 = 5,429.45 : x
  2. Step 2: Convert to fraction form
    9,905.79/13,670.12 = 5,429.45/x
  3. Step 3: Cross multiply
    9,905.79x = 13,670.12 × 5,429.45
  4. Step 4: Simplify right side
    9,905.79x = 74,221,173.35
  5. Step 5: Solve for x
    x = 74,221,173.35/9,905.79
  6. Step 6: Final answer
    x = 7,492.70

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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.