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Finding the Fourth Proportional to 9,527.22, 13,030.88 and 9,374.13

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Solution

The fourth proportional to 9,527.22, 13,030.88 and 9,374.13 is: 12,821.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.22 : 13,030.88 = 9,374.13 : x
  2. Step 2: Convert to fraction form
    9,527.22/13,030.88 = 9,374.13/x
  3. Step 3: Cross multiply
    9,527.22x = 13,030.88 × 9,374.13
  4. Step 4: Simplify right side
    9,527.22x = 122,153,116.26
  5. Step 5: Solve for x
    x = 122,153,116.26/9,527.22
  6. Step 6: Final answer
    x = 12,821.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.