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Finding the Fourth Proportional to 9,185.40, 12,675.29 and 5,152.01

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Solution

The fourth proportional to 9,185.40, 12,675.29 and 5,152.01 is: 7,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.40 : 12,675.29 = 5,152.01 : x
  2. Step 2: Convert to fraction form
    9,185.40/12,675.29 = 5,152.01/x
  3. Step 3: Cross multiply
    9,185.40x = 12,675.29 × 5,152.01
  4. Step 4: Simplify right side
    9,185.40x = 65,303,131.70
  5. Step 5: Solve for x
    x = 65,303,131.70/9,185.40
  6. Step 6: Final answer
    x = 7,109.45

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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.