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Finding the Fourth Proportional to 6,032.04, 8,312.94 and 4,703.64

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Solution

The fourth proportional to 6,032.04, 8,312.94 and 4,703.64 is: 6,482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.04 : 8,312.94 = 4,703.64 : x
  2. Step 2: Convert to fraction form
    6,032.04/8,312.94 = 4,703.64/x
  3. Step 3: Cross multiply
    6,032.04x = 8,312.94 × 4,703.64
  4. Step 4: Simplify right side
    6,032.04x = 39,101,077.10
  5. Step 5: Solve for x
    x = 39,101,077.10/6,032.04
  6. Step 6: Final answer
    x = 6,482.23

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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.