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Finding the Fourth Proportional to 9,041.41, 13,558.95 and 4,297

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Solution

The fourth proportional to 9,041.41, 13,558.95 and 4,297 is: 6,444.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041.41 : 13,558.95 = 4,297 : x
  2. Step 2: Convert to fraction form
    9,041.41/13,558.95 = 4,297/x
  3. Step 3: Cross multiply
    9,041.41x = 13,558.95 × 4,297
  4. Step 4: Simplify right side
    9,041.41x = 58,262,808.15
  5. Step 5: Solve for x
    x = 58,262,808.15/9,041.41
  6. Step 6: Final answer
    x = 6,444.00

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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.