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Finding the Fourth Proportional to 9,698.51, 13,385.18 and 5,720.00

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Solution

The fourth proportional to 9,698.51, 13,385.18 and 5,720.00 is: 7,894.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.51 : 13,385.18 = 5,720.00 : x
  2. Step 2: Convert to fraction form
    9,698.51/13,385.18 = 5,720.00/x
  3. Step 3: Cross multiply
    9,698.51x = 13,385.18 × 5,720.00
  4. Step 4: Simplify right side
    9,698.51x = 76,563,176.97
  5. Step 5: Solve for x
    x = 76,563,176.97/9,698.51
  6. Step 6: Final answer
    x = 7,894.32

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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.