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Finding the Fourth Proportional to 35,685.81, 53,529.35 and 9,389.57

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Solution

The fourth proportional to 35,685.81, 53,529.35 and 9,389.57 is: 14,084.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,685.81 : 53,529.35 = 9,389.57 : x
  2. Step 2: Convert to fraction form
    35,685.81/53,529.35 = 9,389.57/x
  3. Step 3: Cross multiply
    35,685.81x = 53,529.35 × 9,389.57
  4. Step 4: Simplify right side
    35,685.81x = 502,617,264.28
  5. Step 5: Solve for x
    x = 502,617,264.28/35,685.81
  6. Step 6: Final answer
    x = 14,084.51

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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.