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Finding the Fourth Proportional to 9,364, 14,056.80 and 4,756.72

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Solution

The fourth proportional to 9,364, 14,056.80 and 4,756.72 is: 7,140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364 : 14,056.80 = 4,756.72 : x
  2. Step 2: Convert to fraction form
    9,364/14,056.80 = 4,756.72/x
  3. Step 3: Cross multiply
    9,364x = 14,056.80 × 4,756.72
  4. Step 4: Simplify right side
    9,364x = 66,864,261.70
  5. Step 5: Solve for x
    x = 66,864,261.70/9,364
  6. Step 6: Final answer
    x = 7,140.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.