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Finding the Fourth Proportional to 9,185.04, 12,675.65 and 5,206.01

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Solution

The fourth proportional to 9,185.04, 12,675.65 and 5,206.01 is: 7,184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.04 : 12,675.65 = 5,206.01 : x
  2. Step 2: Convert to fraction form
    9,185.04/12,675.65 = 5,206.01/x
  3. Step 3: Cross multiply
    9,185.04x = 12,675.65 × 5,206.01
  4. Step 4: Simplify right side
    9,185.04x = 65,989,471.25
  5. Step 5: Solve for x
    x = 65,989,471.25/9,185.04
  6. Step 6: Final answer
    x = 7,184.45

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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.