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Finding the Fourth Proportional to 9,666.30, 14,488.65 and 4,118.70

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Solution

The fourth proportional to 9,666.30, 14,488.65 and 4,118.70 is: 6,173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.30 : 14,488.65 = 4,118.70 : x
  2. Step 2: Convert to fraction form
    9,666.30/14,488.65 = 4,118.70/x
  3. Step 3: Cross multiply
    9,666.30x = 14,488.65 × 4,118.70
  4. Step 4: Simplify right side
    9,666.30x = 59,674,402.76
  5. Step 5: Solve for x
    x = 59,674,402.76/9,666.30
  6. Step 6: Final answer
    x = 6,173.45

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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.