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Finding the Fourth Proportional to 9,932.51, 14,886.09 and 4,655.88

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Solution

The fourth proportional to 9,932.51, 14,886.09 and 4,655.88 is: 6,977.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.51 : 14,886.09 = 4,655.88 : x
  2. Step 2: Convert to fraction form
    9,932.51/14,886.09 = 4,655.88/x
  3. Step 3: Cross multiply
    9,932.51x = 14,886.09 × 4,655.88
  4. Step 4: Simplify right side
    9,932.51x = 69,307,774.28
  5. Step 5: Solve for x
    x = 69,307,774.28/9,932.51
  6. Step 6: Final answer
    x = 6,977.87

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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.