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Finding the Fourth Proportional to 9,526.08, 13,134.38 and 7,000.50

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Solution

The fourth proportional to 9,526.08, 13,134.38 and 7,000.50 is: 9,652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,526.08 : 13,134.38 = 7,000.50 : x
  2. Step 2: Convert to fraction form
    9,526.08/13,134.38 = 7,000.50/x
  3. Step 3: Cross multiply
    9,526.08x = 13,134.38 × 7,000.50
  4. Step 4: Simplify right side
    9,526.08x = 91,947,192.19
  5. Step 5: Solve for x
    x = 91,947,192.19/9,526.08
  6. Step 6: Final answer
    x = 9,652.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.