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Finding the Fourth Proportional to 9,472.24, 13,064.70 and 6,953.50

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Solution

The fourth proportional to 9,472.24, 13,064.70 and 6,953.50 is: 9,590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.24 : 13,064.70 = 6,953.50 : x
  2. Step 2: Convert to fraction form
    9,472.24/13,064.70 = 6,953.50/x
  3. Step 3: Cross multiply
    9,472.24x = 13,064.70 × 6,953.50
  4. Step 4: Simplify right side
    9,472.24x = 90,845,391.45
  5. Step 5: Solve for x
    x = 90,845,391.45/9,472.24
  6. Step 6: Final answer
    x = 9,590.70

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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.