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Finding the Fourth Proportional to 6,129, 9,165.47 and 4,570.07

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Solution

The fourth proportional to 6,129, 9,165.47 and 4,570.07 is: 6,834.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129 : 9,165.47 = 4,570.07 : x
  2. Step 2: Convert to fraction form
    6,129/9,165.47 = 4,570.07/x
  3. Step 3: Cross multiply
    6,129x = 9,165.47 × 4,570.07
  4. Step 4: Simplify right side
    6,129x = 41,886,770.81
  5. Step 5: Solve for x
    x = 41,886,770.81/6,129
  6. Step 6: Final answer
    x = 6,834.19

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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.