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Finding the Fourth Proportional to 9,416.13, 14,138.06 and 5,264.26

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Solution

The fourth proportional to 9,416.13, 14,138.06 and 5,264.26 is: 7,904.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.13 : 14,138.06 = 5,264.26 : x
  2. Step 2: Convert to fraction form
    9,416.13/14,138.06 = 5,264.26/x
  3. Step 3: Cross multiply
    9,416.13x = 14,138.06 × 5,264.26
  4. Step 4: Simplify right side
    9,416.13x = 74,426,423.74
  5. Step 5: Solve for x
    x = 74,426,423.74/9,416.13
  6. Step 6: Final answer
    x = 7,904.14

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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.