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Finding the Fourth Proportional to 9,675.48, 14,488.40 and 6,709.70

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Solution

The fourth proportional to 9,675.48, 14,488.40 and 6,709.70 is: 10,047.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.48 : 14,488.40 = 6,709.70 : x
  2. Step 2: Convert to fraction form
    9,675.48/14,488.40 = 6,709.70/x
  3. Step 3: Cross multiply
    9,675.48x = 14,488.40 × 6,709.70
  4. Step 4: Simplify right side
    9,675.48x = 97,212,817.48
  5. Step 5: Solve for x
    x = 97,212,817.48/9,675.48
  6. Step 6: Final answer
    x = 10,047.34

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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.