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Finding the Fourth Proportional to 7,113.90, 9,822.48 and 4,597.58

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Solution

The fourth proportional to 7,113.90, 9,822.48 and 4,597.58 is: 6,348.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.90 : 9,822.48 = 4,597.58 : x
  2. Step 2: Convert to fraction form
    7,113.90/9,822.48 = 4,597.58/x
  3. Step 3: Cross multiply
    7,113.90x = 9,822.48 × 4,597.58
  4. Step 4: Simplify right side
    7,113.90x = 45,159,637.60
  5. Step 5: Solve for x
    x = 45,159,637.60/7,113.90
  6. Step 6: Final answer
    x = 6,348.08

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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.