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Finding the Fourth Proportional to 9,730.35, 14,585.81 and 4,803.53

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Solution

The fourth proportional to 9,730.35, 14,585.81 and 4,803.53 is: 7,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.35 : 14,585.81 = 4,803.53 : x
  2. Step 2: Convert to fraction form
    9,730.35/14,585.81 = 4,803.53/x
  3. Step 3: Cross multiply
    9,730.35x = 14,585.81 × 4,803.53
  4. Step 4: Simplify right side
    9,730.35x = 70,063,278.96
  5. Step 5: Solve for x
    x = 70,063,278.96/9,730.35
  6. Step 6: Final answer
    x = 7,200.49

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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.