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Finding the Fourth Proportional to 9,886.58, 14,825.54 and 2,959.46

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Solution

The fourth proportional to 9,886.58, 14,825.54 and 2,959.46 is: 4,437.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.58 : 14,825.54 = 2,959.46 : x
  2. Step 2: Convert to fraction form
    9,886.58/14,825.54 = 2,959.46/x
  3. Step 3: Cross multiply
    9,886.58x = 14,825.54 × 2,959.46
  4. Step 4: Simplify right side
    9,886.58x = 43,875,503.68
  5. Step 5: Solve for x
    x = 43,875,503.68/9,886.58
  6. Step 6: Final answer
    x = 4,437.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.