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Finding the Fourth Proportional to 9,507, 13,119.71 and 5,315.25

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Solution

The fourth proportional to 9,507, 13,119.71 and 5,315.25 is: 7,335.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507 : 13,119.71 = 5,315.25 : x
  2. Step 2: Convert to fraction form
    9,507/13,119.71 = 5,315.25/x
  3. Step 3: Cross multiply
    9,507x = 13,119.71 × 5,315.25
  4. Step 4: Simplify right side
    9,507x = 69,734,512.00
  5. Step 5: Solve for x
    x = 69,734,512.00/9,507
  6. Step 6: Final answer
    x = 7,335.07

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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.