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Finding the Fourth Proportional to 9,738.40, 14,536.48 and 8,572

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Solution

The fourth proportional to 9,738.40, 14,536.48 and 8,572 is: 12,795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.40 : 14,536.48 = 8,572 : x
  2. Step 2: Convert to fraction form
    9,738.40/14,536.48 = 8,572/x
  3. Step 3: Cross multiply
    9,738.40x = 14,536.48 × 8,572
  4. Step 4: Simplify right side
    9,738.40x = 124,606,706.56
  5. Step 5: Solve for x
    x = 124,606,706.56/9,738.40
  6. Step 6: Final answer
    x = 12,795.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.