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Finding the Fourth Proportional to 9,670.13, 14,502.57 and 2,648.45

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Solution

The fourth proportional to 9,670.13, 14,502.57 and 2,648.45 is: 3,971.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.13 : 14,502.57 = 2,648.45 : x
  2. Step 2: Convert to fraction form
    9,670.13/14,502.57 = 2,648.45/x
  3. Step 3: Cross multiply
    9,670.13x = 14,502.57 × 2,648.45
  4. Step 4: Simplify right side
    9,670.13x = 38,409,296.18
  5. Step 5: Solve for x
    x = 38,409,296.18/9,670.13
  6. Step 6: Final answer
    x = 3,971.95

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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.