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Finding the Fourth Proportional to 9,526.59, 14,293.98 and 3,981.20

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Solution

The fourth proportional to 9,526.59, 14,293.98 and 3,981.20 is: 5,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,526.59 : 14,293.98 = 3,981.20 : x
  2. Step 2: Convert to fraction form
    9,526.59/14,293.98 = 3,981.20/x
  3. Step 3: Cross multiply
    9,526.59x = 14,293.98 × 3,981.20
  4. Step 4: Simplify right side
    9,526.59x = 56,907,121.71
  5. Step 5: Solve for x
    x = 56,907,121.71/9,526.59
  6. Step 6: Final answer
    x = 5,973.50

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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.