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Finding the Fourth Proportional to 7,122.47, 9,830.37 and 4,695.58

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Solution

The fourth proportional to 7,122.47, 9,830.37 and 4,695.58 is: 6,480.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.47 : 9,830.37 = 4,695.58 : x
  2. Step 2: Convert to fraction form
    7,122.47/9,830.37 = 4,695.58/x
  3. Step 3: Cross multiply
    7,122.47x = 9,830.37 × 4,695.58
  4. Step 4: Simplify right side
    7,122.47x = 46,159,300.23
  5. Step 5: Solve for x
    x = 46,159,300.23/7,122.47
  6. Step 6: Final answer
    x = 6,480.80

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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.