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Finding the Fourth Proportional to 9,720.64, 14,588.08 and 3,798.40

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Solution

The fourth proportional to 9,720.64, 14,588.08 and 3,798.40 is: 5,700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.64 : 14,588.08 = 3,798.40 : x
  2. Step 2: Convert to fraction form
    9,720.64/14,588.08 = 3,798.40/x
  3. Step 3: Cross multiply
    9,720.64x = 14,588.08 × 3,798.40
  4. Step 4: Simplify right side
    9,720.64x = 55,411,363.07
  5. Step 5: Solve for x
    x = 55,411,363.07/9,720.64
  6. Step 6: Final answer
    x = 5,700.38

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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.