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Finding the Fourth Proportional to 9,509.13, 13,123.06 and 5,260.17

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Solution

The fourth proportional to 9,509.13, 13,123.06 and 5,260.17 is: 7,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.13 : 13,123.06 = 5,260.17 : x
  2. Step 2: Convert to fraction form
    9,509.13/13,123.06 = 5,260.17/x
  3. Step 3: Cross multiply
    9,509.13x = 13,123.06 × 5,260.17
  4. Step 4: Simplify right side
    9,509.13x = 69,029,526.52
  5. Step 5: Solve for x
    x = 69,029,526.52/9,509.13
  6. Step 6: Final answer
    x = 7,259.29

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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.