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Finding the Fourth Proportional to 9,315.23, 12,854.25 and 5,486.27

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Solution

The fourth proportional to 9,315.23, 12,854.25 and 5,486.27 is: 7,570.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.23 : 12,854.25 = 5,486.27 : x
  2. Step 2: Convert to fraction form
    9,315.23/12,854.25 = 5,486.27/x
  3. Step 3: Cross multiply
    9,315.23x = 12,854.25 × 5,486.27
  4. Step 4: Simplify right side
    9,315.23x = 70,521,886.15
  5. Step 5: Solve for x
    x = 70,521,886.15/9,315.23
  6. Step 6: Final answer
    x = 7,570.60

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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.