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Finding the Fourth Proportional to 9,152, 12,632.64 and 5,840

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Solution

The fourth proportional to 9,152, 12,632.64 and 5,840 is: 8,061.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152 : 12,632.64 = 5,840 : x
  2. Step 2: Convert to fraction form
    9,152/12,632.64 = 5,840/x
  3. Step 3: Cross multiply
    9,152x = 12,632.64 × 5,840
  4. Step 4: Simplify right side
    9,152x = 73,774,617.60
  5. Step 5: Solve for x
    x = 73,774,617.60/9,152
  6. Step 6: Final answer
    x = 8,061.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.