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Finding the Fourth Proportional to 9,430.84, 14,146.44 and 4,495.60

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Solution

The fourth proportional to 9,430.84, 14,146.44 and 4,495.60 is: 6,743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.84 : 14,146.44 = 4,495.60 : x
  2. Step 2: Convert to fraction form
    9,430.84/14,146.44 = 4,495.60/x
  3. Step 3: Cross multiply
    9,430.84x = 14,146.44 × 4,495.60
  4. Step 4: Simplify right side
    9,430.84x = 63,596,735.66
  5. Step 5: Solve for x
    x = 63,596,735.66/9,430.84
  6. Step 6: Final answer
    x = 6,743.49

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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.