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Finding the Fourth Proportional to 7,038.48, 9,718.20 and 4,685.52

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Solution

The fourth proportional to 7,038.48, 9,718.20 and 4,685.52 is: 6,469.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.48 : 9,718.20 = 4,685.52 : x
  2. Step 2: Convert to fraction form
    7,038.48/9,718.20 = 4,685.52/x
  3. Step 3: Cross multiply
    7,038.48x = 9,718.20 × 4,685.52
  4. Step 4: Simplify right side
    7,038.48x = 45,534,820.46
  5. Step 5: Solve for x
    x = 45,534,820.46/7,038.48
  6. Step 6: Final answer
    x = 6,469.41

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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.