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Finding the Fourth Proportional to 6,437.48, 9,666.95 and 4,342.60

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Solution

The fourth proportional to 6,437.48, 9,666.95 and 4,342.60 is: 6,521.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.48 : 9,666.95 = 4,342.60 : x
  2. Step 2: Convert to fraction form
    6,437.48/9,666.95 = 4,342.60/x
  3. Step 3: Cross multiply
    6,437.48x = 9,666.95 × 4,342.60
  4. Step 4: Simplify right side
    6,437.48x = 41,979,675.36
  5. Step 5: Solve for x
    x = 41,979,675.36/6,437.48
  6. Step 6: Final answer
    x = 6,521.14

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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.