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Finding the Fourth Proportional to 7,137.48, 9,842.40 and 4,746.60

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Solution

The fourth proportional to 7,137.48, 9,842.40 and 4,746.60 is: 6,545.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.48 : 9,842.40 = 4,746.60 : x
  2. Step 2: Convert to fraction form
    7,137.48/9,842.40 = 4,746.60/x
  3. Step 3: Cross multiply
    7,137.48x = 9,842.40 × 4,746.60
  4. Step 4: Simplify right side
    7,137.48x = 46,717,935.84
  5. Step 5: Solve for x
    x = 46,717,935.84/7,137.48
  6. Step 6: Final answer
    x = 6,545.44

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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.