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Finding the Fourth Proportional to 9,545.34, 13,164.07 and 6,184.81

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Solution

The fourth proportional to 9,545.34, 13,164.07 and 6,184.81 is: 8,529.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.34 : 13,164.07 = 6,184.81 : x
  2. Step 2: Convert to fraction form
    9,545.34/13,164.07 = 6,184.81/x
  3. Step 3: Cross multiply
    9,545.34x = 13,164.07 × 6,184.81
  4. Step 4: Simplify right side
    9,545.34x = 81,417,210.32
  5. Step 5: Solve for x
    x = 81,417,210.32/9,545.34
  6. Step 6: Final answer
    x = 8,529.52

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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.