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Finding the Fourth Proportional to 9,315.40, 13,973.76 and 3,472

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Solution

The fourth proportional to 9,315.40, 13,973.76 and 3,472 is: 5,208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.40 : 13,973.76 = 3,472 : x
  2. Step 2: Convert to fraction form
    9,315.40/13,973.76 = 3,472/x
  3. Step 3: Cross multiply
    9,315.40x = 13,973.76 × 3,472
  4. Step 4: Simplify right side
    9,315.40x = 48,516,894.72
  5. Step 5: Solve for x
    x = 48,516,894.72/9,315.40
  6. Step 6: Final answer
    x = 5,208.25

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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.