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Finding the Fourth Proportional to 9,386.58, 12,927.06 and 9,182.46

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Solution

The fourth proportional to 9,386.58, 12,927.06 and 9,182.46 is: 12,645.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.58 : 12,927.06 = 9,182.46 : x
  2. Step 2: Convert to fraction form
    9,386.58/12,927.06 = 9,182.46/x
  3. Step 3: Cross multiply
    9,386.58x = 12,927.06 × 9,182.46
  4. Step 4: Simplify right side
    9,386.58x = 118,702,211.37
  5. Step 5: Solve for x
    x = 118,702,211.37/9,386.58
  6. Step 6: Final answer
    x = 12,645.95

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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.