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Finding the Fourth Proportional to 9,549.53, 14,303.55 and 5,840.51

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Solution

The fourth proportional to 9,549.53, 14,303.55 and 5,840.51 is: 8,748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.53 : 14,303.55 = 5,840.51 : x
  2. Step 2: Convert to fraction form
    9,549.53/14,303.55 = 5,840.51/x
  3. Step 3: Cross multiply
    9,549.53x = 14,303.55 × 5,840.51
  4. Step 4: Simplify right side
    9,549.53x = 83,540,026.81
  5. Step 5: Solve for x
    x = 83,540,026.81/9,549.53
  6. Step 6: Final answer
    x = 8,748.08

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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.