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Finding the Fourth Proportional to 9,588.48, 14,384.81 and 7,152.40

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Solution

The fourth proportional to 9,588.48, 14,384.81 and 7,152.40 is: 10,730.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.48 : 14,384.81 = 7,152.40 : x
  2. Step 2: Convert to fraction form
    9,588.48/14,384.81 = 7,152.40/x
  3. Step 3: Cross multiply
    9,588.48x = 14,384.81 × 7,152.40
  4. Step 4: Simplify right side
    9,588.48x = 102,885,915.04
  5. Step 5: Solve for x
    x = 102,885,915.04/9,588.48
  6. Step 6: Final answer
    x = 10,730.16

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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.