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Finding the Fourth Proportional to 9,700.58, 14,538.26 and 4,359.82

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Solution

The fourth proportional to 9,700.58, 14,538.26 and 4,359.82 is: 6,534.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.58 : 14,538.26 = 4,359.82 : x
  2. Step 2: Convert to fraction form
    9,700.58/14,538.26 = 4,359.82/x
  3. Step 3: Cross multiply
    9,700.58x = 14,538.26 × 4,359.82
  4. Step 4: Simplify right side
    9,700.58x = 63,384,196.71
  5. Step 5: Solve for x
    x = 63,384,196.71/9,700.58
  6. Step 6: Final answer
    x = 6,534.06

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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.