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Finding the Fourth Proportional to 9,152.51, 12,626.46 and 5,369.00

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Solution

The fourth proportional to 9,152.51, 12,626.46 and 5,369.00 is: 7,406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.51 : 12,626.46 = 5,369.00 : x
  2. Step 2: Convert to fraction form
    9,152.51/12,626.46 = 5,369.00/x
  3. Step 3: Cross multiply
    9,152.51x = 12,626.46 × 5,369.00
  4. Step 4: Simplify right side
    9,152.51x = 67,791,400.61
  5. Step 5: Solve for x
    x = 67,791,400.61/9,152.51
  6. Step 6: Final answer
    x = 7,406.87

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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.