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Finding the Fourth Proportional to 9,967.74, 14,952.15 and 5,031.60

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Solution

The fourth proportional to 9,967.74, 14,952.15 and 5,031.60 is: 7,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.74 : 14,952.15 = 5,031.60 : x
  2. Step 2: Convert to fraction form
    9,967.74/14,952.15 = 5,031.60/x
  3. Step 3: Cross multiply
    9,967.74x = 14,952.15 × 5,031.60
  4. Step 4: Simplify right side
    9,967.74x = 75,233,237.94
  5. Step 5: Solve for x
    x = 75,233,237.94/9,967.74
  6. Step 6: Final answer
    x = 7,547.67

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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.