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Finding the Fourth Proportional to 9,526.16, 14,311.20 and 9,132.50

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Solution

The fourth proportional to 9,526.16, 14,311.20 and 9,132.50 is: 13,719.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,526.16 : 14,311.20 = 9,132.50 : x
  2. Step 2: Convert to fraction form
    9,526.16/14,311.20 = 9,132.50/x
  3. Step 3: Cross multiply
    9,526.16x = 14,311.20 × 9,132.50
  4. Step 4: Simplify right side
    9,526.16x = 130,697,034
  5. Step 5: Solve for x
    x = 130,697,034/9,526.16
  6. Step 6: Final answer
    x = 13,719.80

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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.