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Finding the Fourth Proportional to 9,326.24, 12,870 and 5,134.40

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Solution

The fourth proportional to 9,326.24, 12,870 and 5,134.40 is: 7,085.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.24 : 12,870 = 5,134.40 : x
  2. Step 2: Convert to fraction form
    9,326.24/12,870 = 5,134.40/x
  3. Step 3: Cross multiply
    9,326.24x = 12,870 × 5,134.40
  4. Step 4: Simplify right side
    9,326.24x = 66,079,728.00
  5. Step 5: Solve for x
    x = 66,079,728.00/9,326.24
  6. Step 6: Final answer
    x = 7,085.36

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