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Finding the Fourth Proportional to 9,715.23, 13,411.08 and 6,573.24

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Solution

The fourth proportional to 9,715.23, 13,411.08 and 6,573.24 is: 9,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.23 : 13,411.08 = 6,573.24 : x
  2. Step 2: Convert to fraction form
    9,715.23/13,411.08 = 6,573.24/x
  3. Step 3: Cross multiply
    9,715.23x = 13,411.08 × 6,573.24
  4. Step 4: Simplify right side
    9,715.23x = 88,154,247.50
  5. Step 5: Solve for x
    x = 88,154,247.50/9,715.23
  6. Step 6: Final answer
    x = 9,073.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.